%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@Comment{ The Arithmetic of Dynamical Systems }
@Comment{ Joseph H. Silverman }
@Comment{ Biblographic Database File - ArithDyn.bib }

@comment{
Articles preceded by
comment{NO REF}
do not appear in the bibliography of ADS

Articles preceded by
comment{UPDATE}
are preprints or "to appears" that should be updated as appropriate.
}

@comment{
%%% To fix excessive space between bibliography entries, 
%%% after creating the .bbl file using bibtex, put the following
%%% three commands after the \begin{bibliography} command. (May need
%%% to adjust the size of \itemsep to look okay.)
\setlength{\itemsep}{-4pt}
\small
\addcontentsline{toc}{chapter}{Bibliography} % not needed for amsbook.sty
}

@comment{ ------------------------------------------------------------ }
@comment{ Material to Add:

}

@comment{ ----- Blank form for ArXiv papers ---}
@comment{NO REF}
@comment{UPDATE}
@misc {arxiv,
    AUTHOR = {},
    TITLE = {},
     YEAR = {},
     NOTE = {\url{}},
}

@comment{ ------------------------------------------------------------ }

@comment{--AAA-- }

@book {MR510197,
    AUTHOR = {Ahlfors, Lars V.},
     TITLE = {Complex {A}nalysis},
 PUBLISHER = {McGraw-Hill Book Co.},
   ADDRESS = {New York},
      YEAR = {1978},
     PAGES = {xi+331},
      ISBN = {0-07-000657-1},
   MRCLASS = {30-01},
  MRNUMBER = {MR510197 (80c:30001)},
}
@article {MR0335427,
    AUTHOR = {Aho, A. V. and Sloane, N. J. A.},
     TITLE = {Some doubly exponential sequences},
   JOURNAL = {Fibonacci Quart.},
  FJOURNAL = {The Fibonacci Quarterly. Official Organ of the Fibonacci
              Association},
    VOLUME = {11},
      YEAR = {1973},
    NUMBER = {4},
     PAGES = {429--437},
      ISSN = {0015-0517},
   MRCLASS = {10A40},
  MRNUMBER = {MR0335427 (49 \#209)},
MRREVIEWER = {J. B. Roberts},
}
@comment{http://www.research.att.com/~njas/doc/doubly.html, Publ. List, item 20}

@article {arxiv0408170,
   AUTHOR = {Aitken, Wayne and Hajir, Farshid and Maire, Christian},
    TITLE = {Finitely ramified iterated extensions},
   JOURNAL = {IMRN},
  FJOURNAL = {International Mathematics Research Notices},
     YEAR = {2005},
    PAGES = {855--880},
   VOLUME = {14},
}
@comment{\url{ArXiv:math.NT/0408170}}

@article {MR1840304,
    AUTHOR = {Albeverio, S. and Tirotstsi, B. and Khrennikov, A.
              Yu. and de Shmedt, S.},
     TITLE = {{$p$}-adic dynamical systems},
   JOURNAL = {Teoret. Mat. Fiz.},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Teoreticheskaya i
              Matematicheskaya Fizika},
    VOLUME = {114},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {349--365},
      ISSN = {0564-6162},
   MRCLASS = {37B99 (11S85)},
  MRNUMBER = {MR1840304 (2002a:37018)},
}

@article {MR1928725,
    AUTHOR = {Albeverio, S. and Gundlach, M. and Khrennikov, A. and Lindahl,
              K.-O.},
     TITLE = {On the {M}arkovian behavior of {$p$}-adic random dynamical
              systems},
   JOURNAL = {Russ. J. Math. Phys.},
  FJOURNAL = {Russian Journal of Mathematical Physics},
    VOLUME = {8},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {135--152},
      ISSN = {1061-9208},
   MRCLASS = {60J10 (37H99 81Q99)},
  MRNUMBER = {MR1928725 (2003g:60124)},
MRREVIEWER = {Yves Lacroix},
}

@article {MR2163517,
    AUTHOR = {Ali, Nidal},
     TITLE = {Stabilit\'e des polyn\^omes},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Acta Arithmetica},
    VOLUME = {119},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {53--63},
      ISSN = {0065-1036},
     CODEN = {AARIA9},
   MRCLASS = {11R09 (11T06 12E05)},
  MRNUMBER = {MR2163517 (2006h:11125)},
MRREVIEWER = {Peter M{\"u}ller},
}
@comment{The polynomial f is said to be stable if f^m is
irreducible for all positive integers m.}

@article {MR1817715,
    AUTHOR = {Amoroso, Francesco and Zannier, Umberto},
     TITLE = {A relative {D}obrowolski lower bound over abelian extensions},
   JOURNAL = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)},
  FJOURNAL = {Annali della Scuola Normale Superiore di Pisa. Classe di
              Scienze. Serie IV},
    VOLUME = {29},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {711--727},
      ISSN = {0391-173X},
     CODEN = {PSNAAI},
   MRCLASS = {11G50 (11J99 11R47)},
  MRNUMBER = {MR1817715 (2003a:11078)},
}
@article {MR1740514,
    AUTHOR = {Amoroso, Francesco and Dvornicich, Roberto},
     TITLE = {A lower bound for the height in abelian extensions},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {80},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {260--272},
      ISSN = {0022-314X},
     CODEN = {JNUTA9},
   MRCLASS = {11R18 (11G50)},
  MRNUMBER = {MR1740514 (2001b:11100)},
MRREVIEWER = {Christopher Smyth},
}

@incollection {arxiv0602083,
    AUTHOR = {Anashin, Vladimir},
     TITLE = {Ergodic transformations in the space of {$p$}-adic integers},
 BOOKTITLE = {$p$-adic mathematical physics},
    SERIES = {AIP Conf. Proc.},
    VOLUME = {826},
     PAGES = {3--24},
 PUBLISHER = {Amer. Inst. Phys.},
   ADDRESS = {Melville, NY},
      YEAR = {2006},
   MRCLASS = {37A45 (11S85 37A25)},
  MRNUMBER = {MR2258670},
}
@comment{\url{ArXiv:math.math.DS/0602083}}

@article {MR2220002,
    AUTHOR = {Angl{\`e}s d'Auriac, J.-Ch. and Maillard, J.-M. and Viallet,
              C. M.},
     TITLE = {On the complexity of some birational transformations},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {39},
      YEAR = {2006},
    NUMBER = {14},
     PAGES = {3641--3654},
      ISSN = {0305-4470},
     CODEN = {JPHAC5},
   MRCLASS = {37F10 (14Q99 20F55 37B99)},
  MRNUMBER = {MR2220002 (2006m:37061)},
MRREVIEWER = {Eric Bedford},
}

@book {apostol:utm, 
    AUTHOR = {Apostol, Tom M.},
     TITLE = {Introduction to {A}nalytic {N}umber {T}heory},
      NOTE = {Undergraduate Texts in Mathematics},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1976},
     PAGES = {xii+338},
   MRCLASS = {10-01 (10AXX 10HXX)},
  MRNUMBER = {MR0434929 (55 \#7892)},
MRREVIEWER = {E. Grosswald},
}

@article {MR2163516,
    AUTHOR = {Arias de Reyna, J.},
     TITLE = {Dynamical zeta functions and {K}ummer congruences},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Acta Arithmetica},
    VOLUME = {119},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {39--52},
      ISSN = {0065-1036},
     CODEN = {AARIA9},
   MRCLASS = {11B68 (11A07 11B37 37C30)},
  MRNUMBER = {MR2163516 (2006d:11020)},
MRREVIEWER = {Thomas Ward},
}
	
@comment {MR1264116}
@article {arrowsmith:padicsiegeldisk,
    AUTHOR = {Arrowsmith, David K. and Vivaldi, Franco},
     TITLE = {Geometry of {$p$}-adic {S}iegel discs},
   JOURNAL = {Phys. D},
  FJOURNAL = {Physica D. Nonlinear Phenomena},
    VOLUME = {71},
      YEAR = {1994},
    NUMBER = {1-2},
     PAGES = {222--236},
      ISSN = {0167-2789},
     CODEN = {PDNPDT},
   MRCLASS = {11S85 (11S31 58F99)},
  MRNUMBER = {MR1264116 (95d:11162)},
MRREVIEWER = {Evgenii I. Zelenov},
}

@comment {MR1218804}
@article {arrowsmith:padichorseshoe,
    AUTHOR = {Arrowsmith, David K. and Vivaldi, Franco},
     TITLE = {Some {$p$}-adic representations of the {S}male horseshoe},
   JOURNAL = {Phys. Lett. A},
  FJOURNAL = {Physics Letters. A},
    VOLUME = {176},
      YEAR = {1993},
    NUMBER = {5},
     PAGES = {292--294},
      ISSN = {0375-9601},
     CODEN = {PYLAAG},
   MRCLASS = {58F03 (11Z50 32P05)},
  MRNUMBER = {MR1218804 (94c:58054)},
MRREVIEWER = {Evgenii I. Zelenov},
}

@article {MR2017146,
    AUTHOR = {Autissier, Pascal},
     TITLE = {Hauteur des correspondances de {H}ecke},
   JOURNAL = {Bull. Soc. Math. France},
  FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
    VOLUME = {131},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {421--433},
      ISSN = {0037-9484},
     CODEN = {BSMFAA},
   MRCLASS = {11G18 (11F32 11G50 14G40)},
  MRNUMBER = {MR2017146 (2004i:11058)},
MRREVIEWER = {Robin de Jong},
}
@comment {\url{ArXiv:math.NT/0404355}}

@article {autissierpreprint04,
    AUTHOR = {Autissier, Pascal},
     TITLE = {Dynamique des correspondances alg\'ebriques et hauteurs},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2004},
    NUMBER = {69},
     PAGES = {3723--3739},
      ISSN = {1073-7928},
   MRCLASS = {14G40 (11G50)},
  MRNUMBER = {MR2099499},
MRREVIEWER = {Robin de Jong},
}

@article {MR1760091,
    AUTHOR = {Ayad, Mohamed and McQuillan, Donald L.},
     TITLE = {Irreducibility of the iterates of a quadratic polynomial over
              a field},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Acta Arithmetica},
    VOLUME = {93},
      YEAR = {2000},
    NUMBER = {1},
     PAGES = {87--97},
      ISSN = {0065-1036},
     CODEN = {AARIA9},
   MRCLASS = {11C08 (11R09 11T06 12E10)},
  MRNUMBER = {MR1760091 (2001c:11031)},
MRREVIEWER = {Michel Grandcolas},
}
@article {MR1845367,
    AUTHOR = {Ayad, Mohamed and McQuillan, Donald L.},
     TITLE = {Corrections to: ``{I}rreducibility of the iterates of a
              quadratic polynomial over a field'' [{A}cta {A}rith.\ \textbf{93}
              (2000), no. 1, 87--97]},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Acta Arithmetica},
    VOLUME = {99},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {97},
      ISSN = {0065-1036},
     CODEN = {AARIA9},
   MRCLASS = {11R09 (11T06 12E10)},
  MRNUMBER = {MR1845367 (2002d:11125)},
}

@comment{NO REF}
@article {MR1242609,
    AUTHOR = {Ayad, Mohamed},
     TITLE = {P\'eriodicit\'e (mod {$q$}) des suites elliptiques et points
              {$S$}-entiers sur les courbes elliptiques},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {43},
      YEAR = {1993},
    NUMBER = {3},
     PAGES = {585--618},
      ISSN = {0373-0956},
     CODEN = {AIFUA7},
   MRCLASS = {11B50 (11B83 11D25 11G05)},
  MRNUMBER = {MR1242609 (94f:11009)},
MRREVIEWER = {Franck Lepr{\'e}vost},
}

@comment{--BBB-- }

@incollection {MR0277001,
    AUTHOR = {Banchoff, Thomas F. and Rosen, Michael I.},
     TITLE = {Periodic points of {A}nosov diffeomorphisms},
 BOOKTITLE = {Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley,
              Calif., 1968)},
     PAGES = {17--21},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, R.I.},
      YEAR = {1970},
   MRCLASS = {57.48 (34.00)},
  MRNUMBER = {MR0277001 (43 \#2738)},
MRREVIEWER = {J. W. Robbin},
}

@article {MR0169989,
    AUTHOR = {Baker, I. N.},
     TITLE = {Fixpoints of polynomials and rational functions},
   JOURNAL = {J. London Math. Soc.},
    VOLUME = {39},
      YEAR = {1964},
     PAGES = {615--622},
   MRCLASS = {30.10},
  MRNUMBER = {MR0169989 (30 \#230)},
MRREVIEWER = {W. J. Thron},
}

@comment{UPDATE}
@misc {arxiv0606252,
   AUTHOR = {Baker, Matthew},
    TITLE = {Uniform structures and {B}erkovich spaces},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.NT/0606252}},
}
@comment{16 pages}

@article {arxiv0507484,
    AUTHOR = {Baker, Matthew},
     TITLE = {A lower bound for average values of dynamical {G}reen's
              functions},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {13},
      YEAR = {2006},
    NUMBER = {2-3},
     PAGES = {245--257},
      ISSN = {1073-2780},
   MRCLASS = {14Gxx (11Gxx)},
  MRNUMBER = {MR2231115},
}
@comment{\url{ArXiv:math.NT/0507484}}

@comment{UPDATE}
@misc {arxiv0601046,
   AUTHOR = {Baker, Matthew},
    TITLE = {A finiteness theorem for canonical heights attached 
                 to rational maps over function fields},
     YEAR = {2005},
     NOTE = {\url{ArXiv:math.NT/0601046}},
}
@comment{28 pages}

@misc {arxiv0305181,
   AUTHOR = {Baker, Matthew and Hsia, Liang-Chung},
     TITLE = {Canonical heights, transfinite diameters, and polynomial
              dynamics},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {585},
      YEAR = {2005},
     PAGES = {61--92},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {11G50 (37A45 37F10)},
  MRNUMBER = {MR2164622 (2006i:11071)},
MRREVIEWER = {Clayton Petsche},
}
@comment{ArXiv:math.NT/0305181, 28 pages}

@article {MR2114791,
    AUTHOR = {Baker, Matthew and Ih, Su-ion},
     TITLE = {Equidistribution of small subvarieties of an abelian variety},
   JOURNAL = {New York J. Math.},
  FJOURNAL = {New York Journal of Mathematics},
    VOLUME = {10},
      YEAR = {2004},
     PAGES = {279--285 (electronic)},
      ISSN = {1076-9803},
   MRCLASS = {11G10 (11G35 14K12 14K15)},
  MRNUMBER = {MR2114791 (2005h:11116)},
MRREVIEWER = {Robin de Jong},
}

@comment{UPDATE}
@misc {arxiv0509485,
   AUTHOR = {Baker, Matthew and Ih, Su-Ion and Rumely, Robert},
    TITLE = {A finiteness property of torsion points},
     YEAR = {2005},
     NOTE = {\url{ArXiv:math.NT/0509485}},
}
@comment{27 pages}

@comment{UPDATE}
@misc {arxiv0407433,
   AUTHOR = {Baker, Matthew and Rumely, Robert},
    TITLE = {Analysis and dynamics on the {B}erkovich projective line},
     YEAR = {2004},
     NOTE = {\url{ArXiv:math.NT/0407433}},
}
@comment{150 pages}

@comment{UPDATE}
@misc {bakerrumelyberkbook,
   AUTHOR = {Baker, Matthew and Rumely, Robert},
    TITLE = {Potential Theory on the {B}erkovich Projective Line},
     YEAR = {2006},
     NOTE = {\url{http://www.math.gatech.edu/~mbaker/pdf/BerkBook.pdf},
                     in preparation},
}
@comment{268 pages}

@comment{UPDATE}
@misc {bakerrumelymontel2005,
   AUTHOR = {Baker, Matthew and Rumely, Robert},
    TITLE = {Montel's theorem for the {B}erkovich projective line and the
                 {B}erkovich {J}ulia set of a rational map},
     YEAR = {2005},
     NOTE = {Preprint},
}
@comment{31 pages}

@comment{UPDATE}
@article {arxiv0407427,
   AUTHOR = {Baker, Matthew and Rumely, Robert},
    TITLE = {Harmonic analysis on metrized graphs},
  JOURNAL = {Canadian J. Math.},
     YEAR = {2007},
     NOTE = {To appear}
}
@comment{\url{ArXiv:math.CO/0407427}}

@article {arxiv0407426,
   AUTHOR = {Baker, Matthew and Rumely, Robert},
     TITLE = {Equidistribution of small points, rational dynamics, and
              potential theory},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {56},
      YEAR = {2006},
    NUMBER = {3},
     PAGES = {625--688},
      ISSN = {0373-0956},
     CODEN = {AIFUA7},
   MRCLASS = {11G50 (37A45 37F10)},
  MRNUMBER = {MR2244226}, 
}
@comment{ArXiv:math.NT/0407426, 53 pages}

@comment{UPDATE}
@article {baragarluijk06,
    AUTHOR = {Baragar, Arthur and  van Luijk, Ronald},
     TITLE = {{$K3$} surfaces with Picard number three and canonical heights},
   JOURNAL = {Math. Comp.},
      NOTE = {To appear},
}

@article {MR2059748,
    AUTHOR = {Baragar, Arthur},
     TITLE = {Canonical vector heights on {$K3$} surfaces with {P}icard
              number three---an argument for nonexistence},
   JOURNAL = {Math. Comp.},
  FJOURNAL = {Mathematics of Computation},
    VOLUME = {73},
      YEAR = {2004},
    NUMBER = {248},
     PAGES = {2019--2025 (electronic)},
      ISSN = {0025-5718},
     CODEN = {MCMPAF},
   MRCLASS = {14J28 (11G50 14G25)},
  MRNUMBER = {MR2059748 (2005e:14058)},
MRREVIEWER = {Yuri Tschinkel},
}
@article {MR2011389,
    AUTHOR = {Baragar, Arthur},
     TITLE = {Canonical vector heights on algebraic {$K3$} surfaces with
              {P}icard number two},
   JOURNAL = {Canad. Math. Bull.},
  FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
              Math\'ematiques},
    VOLUME = {46},
      YEAR = {2003},
    NUMBER = {4},
     PAGES = {495--508},
      ISSN = {0008-4395},
     CODEN = {CMBUA3},
   MRCLASS = {11G50 (11G35 14G40 14J28)},
  MRNUMBER = {MR2011389 (2004i:11065)},
MRREVIEWER = {Noriko Yui},
}
@article {MR1985002,
    AUTHOR = {Baragar, Arthur},
     TITLE = {Orbits of curves on certain {$K3$} surfaces},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {137},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {115--134},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {11G35 (14J28)},
  MRNUMBER = {MR1985002 (2004d:11050)},
MRREVIEWER = {Noriko Yui},
}
@article {MR1459107,
    AUTHOR = {Baragar, Arthur},
     TITLE = {Rational curves on {$K3$} surfaces in {$\mathbb{P}\sp 1
              \times\mathbb{P}\sp 1\times\mathbb{P}\sp 1$}},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {126},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {637--644},
      ISSN = {0002-9939},
     CODEN = {PAMYAR},
   MRCLASS = {14G05 (14J20 14J28)},
  MRNUMBER = {MR1459107 (98h:14028)},
MRREVIEWER = {Dan Abramovich},
}
@article {MR1397435,
    AUTHOR = {Baragar, Arthur},
     TITLE = {Rational points on {$K3$} surfaces in 
             {$\mathbb{P}\sp 1\times\mathbb{P}\sp 1\times\mathbb{P}\sp 1$}},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {305},
      YEAR = {1996},
    NUMBER = {3},
     PAGES = {541--558},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {14G05 (14J28)},
  MRNUMBER = {MR1397435 (97g:14020)},
MRREVIEWER = {Lin Weng},
}

@article {MR1302308,
    AUTHOR = {Baragar, Arthur},
     TITLE = {Asymptotic growth of {M}arkoff-{H}urwitz numbers},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {94},
      YEAR = {1994},
    NUMBER = {1},
     PAGES = {1--18},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {11D72 (11J06)},
  MRNUMBER = {MR1302308 (95i:11025)},
MRREVIEWER = {Joseph H. Silverman},
}
@article {MR1295950,
    AUTHOR = {Baragar, Arthur},
     TITLE = {Integral solutions of {M}arkoff-{H}urwitz equations},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {49},
      YEAR = {1994},
    NUMBER = {1},
     PAGES = {27--44},
      ISSN = {0022-314X},
     CODEN = {JNUTA9},
   MRCLASS = {11J06},
  MRNUMBER = {MR1295950 (95g:11066)},
MRREVIEWER = {Thomas W. Cusick},
}
@book {MR2030225,
    AUTHOR = {Barth, Wolf P. and Hulek, Klaus and Peters, Chris A. M. and
              Van de Ven, Antonius},
     TITLE = {Compact complex surfaces},
    SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A
              Series of Modern Surveys in Mathematics},
    VOLUME = {4},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2004},
     PAGES = {xii+436},
      ISBN = {3-540-00832-2},
   MRCLASS = {14Jxx (14-02 32-02 32J15 57R57)},
  MRNUMBER = {MR2030225 (2004m:14070)},
MRREVIEWER = {I. Dolgachev},
}

@article {batramorton:algebraicdynamics,
    AUTHOR = {Batra, Anjula and Morton, Patrick},
     TITLE = {Algebraic dynamics of polynomial maps on the algebraic closure
              of a finite field. {I}},
   JOURNAL = {Rocky Mountain J. Math.},
  FJOURNAL = {The Rocky Mountain Journal of Mathematics},
    VOLUME = {24},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {453--481},
      ISSN = {0035-7596},
     CODEN = {RMJMAE},
   MRCLASS = {11T06 (05C20 58F08)},
  MRNUMBER = {MR1277338 (95d:11163)},
MRREVIEWER = {S. D. Cohen},
}
@article {MR1307583,
    AUTHOR = {Batra, Anjula and Morton, Patrick},
     TITLE = {Algebraic dynamics of polynomial maps on the algebraic closure
              of a finite field. {II}},
   JOURNAL = {Rocky Mountain J. Math.},
  FJOURNAL = {The Rocky Mountain Journal of Mathematics},
    VOLUME = {24},
      YEAR = {1994},
    NUMBER = {3},
     PAGES = {905--932},
      ISSN = {0035-7596},
     CODEN = {RMJMAE},
   MRCLASS = {11T06 (05C20 58F08)},
  MRNUMBER = {MR1307583 (95j:11114)},
MRREVIEWER = {S. D. Cohen},
}

@comment {MR1128089}
@book{beardon:gtm, 
    AUTHOR = {Beardon, Alan F.},
     TITLE = {Iteration of {R}ational {F}unctions},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {132},
      NOTE = {Complex analytic dynamical systems},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1991},
     PAGES = {xvi+280},
      ISBN = {0-387-97589-6},
   MRCLASS = {30D05 (30-01 58F23)},
  MRNUMBER = {MR1128089 (92j:30026)},
MRREVIEWER = {A. {\`E}. Eremenko},
}

@book {MR1406314,
    AUTHOR = {Beauville, Arnaud},
     TITLE = {Complex {A}lgebraic {S}urfaces},
    SERIES = {London Mathematical Society Student Texts},
    VOLUME = {34},
   EDITION = {Second},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1996},
     PAGES = {x+132},
      ISBN = {0-521-49510-5; 0-521-49842-2},
   MRCLASS = {14Jxx (14-02)},
  MRNUMBER = {MR1406314 (97e:14045)},
}
@comment{UPDATE}
@misc {arxiv0512507,
   AUTHOR = {Bedford, Eric and  Kim, Kyounghee},
    TITLE = {Degree growth of matrix inversion: birational maps of 
                 symmetric, cyclic matrices},
     YEAR = {2005},
     NOTE = {\url{ArXiv:math.DS/0512507}},
}

@article {MR2111418,
    AUTHOR = {Bedford, Eric and Kim, Kyounghee},
     TITLE = {On the degree growth of birational mappings in higher
              dimension},
   JOURNAL = {J. Geom. Anal.},
  FJOURNAL = {The Journal of Geometric Analysis},
    VOLUME = {14},
      YEAR = {2004},
    NUMBER = {4},
     PAGES = {567--596},
      ISSN = {1050-6926},
   MRCLASS = {14E05 (32H50 37F10)},
  MRNUMBER = {MR2111418 (2006b:14018)},
MRREVIEWER = {Serge Cantat},
}

@book {MR1781937,
    AUTHOR = {Bekka, M. Bachir and Mayer, Matthias},
     TITLE = {Ergodic {T}heory and {T}opological {D}ynamics of {G}roup {A}ctions on
              {H}omogeneous {S}paces},
    SERIES = {London Mathematical Society Lecture Note Series},
    VOLUME = {269},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2000},
     PAGES = {x+200},
      ISBN = {0-521-66030-0},
   MRCLASS = {37A15 (11E99 22E40 22F30 37A30 37C85)},
  MRNUMBER = {MR1781937 (2002c:37002)},
MRREVIEWER = {S. G. Dani},
}
@article {MR2098475,
    AUTHOR = {Bekyel, Ebru},
     TITLE = {The density of elliptic curves having a global minimal
              {W}eierstrass equation},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {109},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {41--58},
      ISSN = {0022-314X},
     CODEN = {JNUTA9},
   MRCLASS = {11G05},
  MRNUMBER = {MR2098475 (2005f:11109)},
MRREVIEWER = {Siman Wong},
}
@article {MR1704282,
    AUTHOR = {Bellon, M. P. and Viallet, C.-M.},
     TITLE = {Algebraic entropy},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {204},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {425--437},
      ISSN = {0010-3616},
     CODEN = {CMPHAY},
   MRCLASS = {37D45 (37A35 37C99 39A12)},
  MRNUMBER = {MR1704282 (2000f:37040)},
MRREVIEWER = {Remo Badii},
}

@UNPUBLISHED{unpubBenMenahem,
 AUTHOR  = {Ben-Menahem, Shahar},
 TITLE   = {$p$-adic iterations},
 NOTE    = {Preprint, {TAUP} 1627--88, {T}el-{A}viv {University}},
 YEAR    = {1988}
}

@phdthesis{benedetto:thesis, 
    AUTHOR = {Benedetto, Robert L.},
    TITLE = {Fatou components in $p$-adic dynamics},
   SCHOOL = {Brown University},
     YEAR = {1998}
}

@article {MR1981035,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Non-{A}rchimedean holomorphic maps and the {A}hlfors {I}slands
              theorem},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {125},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {581--622},
      ISSN = {0002-9327},
     CODEN = {AJMAAN},
   MRCLASS = {30G06 (12J25 30C25)},
  MRNUMBER = {MR1981035 (2004a:30042)},
MRREVIEWER = {William A. Cherry},
}
@article {MR1941304,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Examples of wandering domains in {$p$}-adic polynomial
              dynamics},
   JOURNAL = {C.~R.~Math. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
    VOLUME = {335},
      YEAR = {2002},
    NUMBER = {7},
     PAGES = {615--620},
      ISSN = {1631-073X},
   MRCLASS = {37F10 (12J25 37F50)},
  MRNUMBER = {MR1941304 (2003i:37040)},
MRREVIEWER = {Serge Cantat},
}

@comment{MR2157374}
@article {arxiv0312034,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Wandering domains and nontrivial reduction in
              non-{A}rchimedean dynamics},
   JOURNAL = {Illinois J. Math.},
  FJOURNAL = {Illinois Journal of Mathematics},
    VOLUME = {49},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {167--193 (electronic)},
      ISSN = {0019-2082},
     CODEN = {IJMTAW},
   MRCLASS = {11S85 (37B99 37F10 37F50)},
  MRNUMBER = {MR2157374 (2006e:11185)},
MRREVIEWER = {Charles Favre},
}

@article {arxiv0312029,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Wandering domains in non-archimedean polynomial dynamics},
   JOURNAL = {Bull. London Math. Soc.},
  FJOURNAL = {The Bulletin of the London Mathematical Society},
    VOLUME = {38},
      YEAR = {2006},
    NUMBER = {6},
     PAGES = {937--950},
}
@comment{\url{ArXiv:math.NT/0312029} (13 pages)}

@article {arxiv0510444,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Heights and preperiodic points of polynomials over function
              fields},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2005},
    NUMBER = {62},
     PAGES = {3855--3866},
      ISSN = {1073-7928},
   MRCLASS = {11G50 (11R58)},
  MRNUMBER = {MR2202175},
MRREVIEWER = {Clayton Petsche},
}

@article {MR1863402,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Components and periodic points in non-{A}rchi\-me\-dean dynamics},
   JOURNAL = {Proc. London Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {84},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {231--256},
      ISSN = {0024-6115},
     CODEN = {PLMTAL},
   MRCLASS = {11S85 (37F10 37F50)},
  MRNUMBER = {MR1863402 (2002k:11215)},
MRREVIEWER = {Michael E. Zieve},
}
@article {MR1864055,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {An elementary product identity in polynomial dynamics},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {108},
      YEAR = {2001},
    NUMBER = {9},
     PAGES = {860--864},
      ISSN = {0002-9890},
     CODEN = {AMMYAE},
   MRCLASS = {11C08 (11R27 13B25 37F10)},
  MRNUMBER = {MR1864055 (2003g:11021)},
MRREVIEWER = {Peter Ha{\"{\i}}ssinsky},
}
@article {benedetto:hyperbolic,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Hyperbolic maps in {$p$}-adic dynamics},
   JOURNAL = {Ergodic Theory Dynam. Systems},
  FJOURNAL = {Ergodic Theory and Dynamical Systems},
    VOLUME = {21},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {1--11},
      ISSN = {0143-3857},
   MRCLASS = {11S99 (37D99)},
  MRNUMBER = {MR1826658 (2002c:11163)},
MRREVIEWER = {Michael E. Zieve},
}
@article {MR1813109,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Reduction, dynamics, and {J}ulia sets of rational functions},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {86},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {175--195},
      ISSN = {0022-314X},
     CODEN = {JNUTA9},
   MRCLASS = {11S85 (37F10 37F50)},
  MRNUMBER = {MR1813109 (2001m:11211)},
MRREVIEWER = {Serge Cantat},
}
@article {MR1781331,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {{$p$}-adic dynamics and {S}ullivan's no wandering domains
              theorem},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {122},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {281--298},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {37F10 (11S99 37F50 37F99)},
  MRNUMBER = {MR1781331 (2001f:37054)},
MRREVIEWER = {Serge Cantat},
}

@comment{UPDATE}
@article {arxiv0506480,
    AUTHOR = {Benedetto, Robert L.},
    TITLE = {Preperiodic points of polynomials over global fields},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
     NOTE = {To appear}, 
}
@comment{\url{ArXiv:math.NT/0506480} (28 pages)}


<@comment{*** Title of Benedetto's book is tentative}
@comment{UPDATE}
@book {benedettobook,
    AUTHOR = {Benedetto, Robert L.},
     TITLE = {Dynamics in one $p$-adic variable},
      NOTE = {In preparation, 2007},
}
@comment{NO REF}
@comment{UPDATE}
@misc {arxiv0705.3233,
    AUTHOR = {Bennett, Curtis and Mosteig, Edward},
    TITLE = {On the Collection of Integers that Index the Fixed Points 
             of Maps on the Space of Rational Functions},
     YEAR = {2007},
     NOTE = {\url{arxiv.org/abs/0705.3233}},
}
@book {MR1070709,
    AUTHOR = {Berkovich, Vladimir G.},
     TITLE = {Spectral {T}heory and {A}nalytic {G}eometry over {N}on-{A}rchimedean
             {F}ields},
    SERIES = {Mathematical Surveys and Monographs},
    VOLUME = {33},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {1990},
     PAGES = {x+169},
      ISBN = {0-8218-1534-2},
   MRCLASS = {32P05 (32C15 32C37 46S10 47S10)},
  MRNUMBER = {MR1070709 (91k:32038)},
MRREVIEWER = {W. Bartenwerfer},
}

@article {MR1259429,
    AUTHOR = {Berkovich, Vladimir G.},
     TITLE = {\'{E}tale cohomology for non-{A}rchimedean analytic spaces},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
              Math\'ematiques},
    NUMBER = {78},
      YEAR = {1993},
     PAGES = {5--161 (1994)},
      ISSN = {0073-8301},
     CODEN = {PMIHA6},
   MRCLASS = {14F20 (14F30 32C37 32P05)},
  MRNUMBER = {MR1259429 (95c:14017)},
MRREVIEWER = {W. Bartenwerfer},
}

@preamble{
   "\def\cprime{$'$} "
}
@article {MR1360770,
    AUTHOR = {Berkovich, Vladimir G.},
     TITLE = {The automorphism group of the {D}rinfel\cprime d half-plane},
   JOURNAL = {C.~R.~Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {321},
      YEAR = {1995},
    NUMBER = {9},
     PAGES = {1127--1132},
      ISSN = {0764-4442},
     CODEN = {CASMEI},
   MRCLASS = {11G09 (11F85 11S80 22E50)},
  MRNUMBER = {MR1360770 (96h:11053)},
MRREVIEWER = {David Goss},
}

@inproceedings {MR1648064,
    AUTHOR = {Berkovich, Vladimir G.},
     TITLE = {{$p$}-adic analytic spaces},
 BOOKTITLE = {Proceedings of the International Congress of Mathematicians,
              Vol. II (Berlin, 1998)},
   JOURNAL = {Doc. Math.},
  FJOURNAL = {Documenta Mathematica},
      YEAR = {1998},
    NUMBER = {Extra Vol. II},
     PAGES = {141--151 (electronic)},
      ISSN = {1431-0643},
   MRCLASS = {14G20 (14F20 32C37 32P05)},
  MRNUMBER = {MR1648064 (99h:14026)},
MRREVIEWER = {Annette Werner},
}

@article {MR0288104,
    AUTHOR = {Bertram, E. A.},
     TITLE = {Polynomials which commute with a {T}chebycheff polynomial},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {78},
      YEAR = {1971},
     PAGES = {650--653},
      ISSN = {0002-9890},
   MRCLASS = {12.30},
  MRNUMBER = {MR0288104 (44 \#5302)},
MRREVIEWER = {A. Evyatar},
}

@article {MR1871293,
    AUTHOR = {Berteloot, Fran{\c{c}}ois and Loeb, Jean-Jacques},
     TITLE = {Une caract\'erisation g\'eom\'etrique des exemples de
              {L}att\`es de {$\mathbb{P}\sp k$}},
   JOURNAL = {Bull. Soc. Math. France},
  FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
    VOLUME = {129},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {175--188},
      ISSN = {0037-9484},
     CODEN = {BSMFAA},
   MRCLASS = {32U40 (32H50)},
  MRNUMBER = {MR1871293 (2002k:32063)},
MRREVIEWER = {Mattias Jonsson},
}

@article {MR2051375,
    AUTHOR = {B{\'e}zivin, Jean-Paul},
     TITLE = {Fractions rationnelles hyperboliques {$p$}-adiques},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Acta Arithmetica},
    VOLUME = {112},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {151--175},
      ISSN = {0065-1036},
     CODEN = {AARIA9},
   MRCLASS = {37F10 (11S99 37F50 39B12)},
  MRNUMBER = {MR2051375},
MRREVIEWER = {Serge Cantat},
}
@article {MR2031456,
    AUTHOR = {B{\'e}zivin, Jean-Paul},
     TITLE = {Sur la compacit\'e des ensembles de {J}ulia des polyn\^omes
              {$p$}-adiques},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {246},
      YEAR = {2004},
    NUMBER = {1-2},
     PAGES = {273--289},
      ISSN = {0025-5874},
     CODEN = {MAZEAX},
   MRCLASS = {37F10 (11S99 37F50)},
  MRNUMBER = {MR2031456 (2005b:37088)},
MRREVIEWER = {Serge Cantat},
}
@article {MR1871284,
    AUTHOR = {B{\'e}zivin, Jean-Paul},
     TITLE = {Sur les ensembles de {J}ulia et {F}atou des fonctions
              enti\`eres ultram\'etriques},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {51},
      YEAR = {2001},
    NUMBER = {6},
     PAGES = {1635--1661},
      ISSN = {0373-0956},
     CODEN = {AIFUA7},
   MRCLASS = {37F50 (11S99 37E99)},
  MRNUMBER = {MR1871284 (2002j:37060)},
MRREVIEWER = {Serge Cantat},
}
@article {MR1864626,
    AUTHOR = {B{\'e}zivin, Jean-Paul},
     TITLE = {Sur les points p\'eriodiques des applications rationnelles en
              dynamique ultram\'etrique},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Acta Arithmetica},
    VOLUME = {100},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {63--74},
      ISSN = {0065-1036},
     CODEN = {AARIA9},
   MRCLASS = {37F50 (11S99 37E99)},
  MRNUMBER = {MR1864626 (2002j:37059)},
MRREVIEWER = {Serge Cantat},
}

@article {MR741725,
    AUTHOR = {Blanchard, Paul},
     TITLE = {Complex analytic dynamics on the {R}iemann sphere},
   JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {11},
      YEAR = {1984},
    NUMBER = {1},
     PAGES = {85--141},
      ISSN = {0273-0979},
     CODEN = {BAMOAD},
   MRCLASS = {58-02 (30D05 58F11)},
  MRNUMBER = {MR741725 (85h:58001)},
MRREVIEWER = {Robert L. Devaney},
}
@article {MR0296021,
    AUTHOR = {Blanksby, P. E. and Montgomery, H. L.},
     TITLE = {Algebraic integers near the unit circle},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica},
    VOLUME = {18},
      YEAR = {1971},
     PAGES = {355--369},
      ISSN = {0065-1036},
   MRCLASS = {10F25},
  MRNUMBER = {MR0296021 (45 \#5082)},
MRREVIEWER = {L. Carlitz},
}
@book {bombierigubler,
    AUTHOR = {Enrico Bombieri and Walter Gubler},
     TITLE = {Heights in {D}iophantine Geometry},
    SERIES = {New Mathematical Monographs},
    NUMBER = {4},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
     PAGES = {668},
      YEAR = {2006},
      ISBN = {0521846153},
}

@article {MR1793690,
    AUTHOR = {Bonifant, Araceli M. and Forn{\ae}ss, John Erik},
     TITLE = {Growth of degree for iterates of rational maps in several
              variables},
   JOURNAL = {Indiana Univ. Math. J.},
  FJOURNAL = {Indiana University Mathematics Journal},
    VOLUME = {49},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {751--778},
      ISSN = {0022-2518},
     CODEN = {IUMJAB},
   MRCLASS = {32H50 (37F10)},
  MRNUMBER = {MR1793690 (2003g:32035)},
MRREVIEWER = {Vincent Guedj},
}
@book {MR0195803,
    AUTHOR = {Borevich, A. I. and Shafarevich, I. R.},
     TITLE = {Number {T}heory},
    SERIES = {Translated from the Russian by Newcomb Greenleaf. Pure and
              Applied Mathematics, Vol. 20},
 PUBLISHER = {Academic Press},
   ADDRESS = {New York},
      YEAR = {1966},
     PAGES = {x+435},
   MRCLASS = {10.00},
  MRNUMBER = {MR0195803 (33 \#4001)},
}

@article {MR2210638,
    AUTHOR = {Boros, G. and Little, J. and Moll, V. and Mosteig, E. and
              Stanley, R.},
     TITLE = {A map on the space of rational functions},
   JOURNAL = {Rocky Mountain J. Math.},
  FJOURNAL = {The Rocky Mountain Journal of Mathematics},
    VOLUME = {35},
      YEAR = {2005},
    NUMBER = {6},
     PAGES = {1861--1880},
      ISSN = {0035-7596},
     CODEN = {RMJMAE},
   MRCLASS = {33B99 (05E35 39B12)},
  MRNUMBER = {MR2210638},
}
	
@article {MR1980323,
    AUTHOR = {Boros, G. and Joyce, M. and Moll, V.},
     TITLE = {A transformation of rational functions},
   JOURNAL = {Elem. Math.},
  FJOURNAL = {Elemente der Mathematik. Eine Zeitschrift der Schweizerischen
              Mathematischen Gesellschaft. Une Revue de la Soci\'et\'e
              Math\'ematique Suisse. Una Rivista della Societ\`a Matematica
              Svizzera},
    VOLUME = {58},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {73--83},
      ISSN = {0013-6018},
     CODEN = {ELMMAF},
   MRCLASS = {33E05},
  MRNUMBER = {MR1980323 (2004e:33022)},
MRREVIEWER = {Matti Vuorinen},
}
@comment{See also
Briscoe, S. - Jimenez, L. - Medina, L.: Asymptotics of a
transformation on the space of rational functions. SIMU 2002, Report.
Briscoe, S. - Jimenez, L. - Manna, D. - Medina, L. - Moll, V.: The
dynamics of a transformation on the space of rational functions. In
preparation.
}
@book {bosch:nonarchanalysis, 
    AUTHOR = {Bosch, S. and G{\"u}ntzer, U. and Remmert, R.},
     TITLE = {Non-{A}rchimedean analysis},
    SERIES = {Grundlehren der Mathematischen Wissenschaften},
    VOLUME = {261},
      NOTE = {A systematic approach to rigid analytic geometry},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1984},
     PAGES = {xii+436},
      ISBN = {3-540-12546-9},
   MRCLASS = {32K10 (30G05 46P05)},
  MRNUMBER = {MR746961 (86b:32031)},
MRREVIEWER = {W. Bartenwerfer},
}

@comment {MR1734635}
@article {bosio:roundoff,
    AUTHOR = {Bosio, D. and Vivaldi, F.},
     TITLE = {Round-off errors and {$p$}-adic numbers},
   JOURNAL = {Nonlinearity},
  FJOURNAL = {Nonlinearity},
    VOLUME = {13},
      YEAR = {2000},
    NUMBER = {1},
     PAGES = {309--322},
      ISSN = {0951-7715},
     CODEN = {NONLE5},
   MRCLASS = {37M99 (11S85 37B10 37E99 65G50)},
  MRNUMBER = {MR1734635 (2000k:37130)},
MRREVIEWER = {M. L. Blank},
}

@phdthesis{bousch:thesis, 
   AUTHOR = {T. Bousch},
    TITLE = {Sur quelques probl{\`{e}}mes de dynamique holomorphe},
   SCHOOL = {Universit{\'{e}} de Paris-Sud},
  ADDRESS = {Centre d'Orsay},
     YEAR = {1992}
	}

@comment {MR1618282}
@comment{NO REF}
@article{boyd:mahlermeasure,
    AUTHOR = {Boyd, David W.},
     TITLE = {Mahler's measure and special values of {$L$}-functions},
   JOURNAL = {Experiment. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {7},
      YEAR = {1998},
    NUMBER = {1},
     PAGES = {37--82},
      ISSN = {1058-6458},
   MRCLASS = {11G40 (11R06 11Y35)},
  MRNUMBER = {MR1618282 (99d:11070)},
MRREVIEWER = {Jan Nekov{\'a}{\v{r}}},
}


@comment{NO REF}  
@misc {arxiv0511442,
   AUTHOR = {Broise, Anne and Paulin, Fr\'{e}d\'{e}ric},
    TITLE = {Dynamique sur le rayon modulaire et fractions 
              continues en caract\'{e}ristique $p$},
     YEAR = {2005},
     NOTE = {\url{ArXiv:math.GR/0511442}},
   MRCLASS = {11J70},
}
@comment{21 pages}

@comment {MR2125384}
@article {bryksilva05,
    AUTHOR = {Bryk, John and Silva, Cesar E.},
     TITLE = {Measurable dynamics of simple {$p$}-adic polynomials},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
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     CODEN = {AMMYAE},
   MRCLASS = {37A45 (11Sxx 54H20)},
  MRNUMBER = {MR2125384},
}


@article {MR2171197,
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  MRNUMBER = {MR2171197},
       DOI = {10.1155/IMRN.2005.1889},
}
@comment{\url{ArXiv:math.DS/0505037}}

@article {buiumpreprint050704,
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      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {11Gxx (37Fxx)},
  MRNUMBER = {MR2130591},
}

@comment{--CCC-- }

@article {callgoldstine:htonprojspace,
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@article {callsilv:htonk3,
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@article {arxiv0504533,
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    VOLUME = {149},
      YEAR = {2007},
    NUMBER = {4},
     PAGES = {265--287},
}
@comment{\url{ArXiv:math.NT/0512338}}

@comment{UPDATE}
@article {arxiv0512338, 
   AUTHOR = {Canci, Jung Kyu},
    TITLE = {Finite rational orbits for rational functions},
     YEAR = {2007},
   JOURNAL = {Indag. Math. (N.S.)},
  FJOURNAL = {Koninklijke Nederlandse Akademie van Wetenschappen.
              Indagationes Mathematicae. New Series},
     NOTE = {To appear},
}
@comment{\url{ArXiv:math.NT/0512338}}

@misc {Canci07,
   AUTHOR = {Canci, Jung Kyu},
    TITLE = {Rational periodic points for quadratic maps},
     YEAR = {2007},
     NOTE = {Preprint, 2007},
}

@article {MR1864630,
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  MRNUMBER = {MR1864630 (2003h:32026)},
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MRREVIEWER = {Christopher Smyth},
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@book{carlesongamelin:complexdynamics, 
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@book {MR1144763,
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MRREVIEWER = {Philippe Satg{\'e}},
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@article {arxiv0304023,
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   MRCLASS = {14Gxx},
  MRNUMBER = {MR2244803},
}
@comment{\url{ArXiv:math.NT/0304023}}

@comment{UPDATE}
@misc {arxiv0612556,
   AUTHOR = {Chambert-Loir, Antoine and Thuillier, Amaury},
    TITLE = {Formule de {M}ahler et {\'e}quidistribution logarithmique},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.NT/0612556}},
}
@comment{24 pages}

@article {MR850926,
    AUTHOR = {Chass{\'e}, Guy},
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  MRNUMBER = {MR850926 (87k:12001)},
MRREVIEWER = {N. Popescu},
}

@article {MR2072394,
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@article {arxivDS0605439,
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        Reinhard and Sturmfels, B.},
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@article {MR2080121,
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  MRNUMBER = {MR2080121 (2005g:58055)},
MRREVIEWER = {{\'E}ric Leichtnam},
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@proceedings {MR1943523,
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@article {chothi:sintegerdynamics,
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@article {Chowla33,
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@incollection {MR1819181,
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@book {MR1228206,
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@book {MR1728313,
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@incollection {MR1650613,
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@inproceedings {MR624806,
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@book {MR1417938,
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@article {MR1045787,
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  MRNUMBER = {MR1045787 (91b:12003)},
MRREVIEWER = {Yu Wang},
}
@comment{Proof that the splitting field of the $n'th$ iterate is
as large as possible (i.e., the full wreath product) for 
all $n\le 5\cdot10^7$.}

@comment{--DDD-- }

@article {MR1778843,
    AUTHOR = {D'Ambros, P. and Everest, G. and Miles, R. and Ward, T.},
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  MRNUMBER = {MR1778843 (2001m:11093)},
MRREVIEWER = {Gregory P. B. Dresden},
}

@article {MR1887002,
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    VOLUME = {130},
      YEAR = {2002},
    NUMBER = {6},
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  MRNUMBER = {MR1887002 (2002m:12001)},
MRREVIEWER = {Peter M{\"u}ller},
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@article {debesdouai:fldofmod,
    AUTHOR = {D{\`e}bes, Pierre and Douai, Jean-Claude},
     TITLE = {Algebraic covers: field of moduli versus field of definition},
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  MRNUMBER = {MR1443489 (98k:11081)},
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@article {debesdouai:localglobal,
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     TITLE = {Local-global principles for algebraic covers},
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   MRCLASS = {14G32 (14E20 14F20)},
  MRNUMBER = {MR1613576 (2000c:14028)},
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@article {debesdouai:gerbes,
    AUTHOR = {D{\`e}bes, Pierre and Douai, Jean-Claude},
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   JOURNAL = {Comm. Algebra},
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@article {debesharbater:fldofdefpadic,
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@misc {arxiv0412438,
   AUTHOR = {DeMarco, Laura},
    TITLE = {The moduli space of quadratic rational maps},
  JOURNAL = {J. Amer. Math. Soc.},
 FJOURNAL = {Journal of the American Mathematical Society},
   VOLUME = {20},
     YEAR = {2007},
   NUMBER = {2},
    PAGES = {321--355},
}
@comment{\url{ArXiv:math.DS/0412438}}
 
@misc {arxiv0403078,
   AUTHOR = {DeMarco, Laura},
    TITLE = {Iteration at the boundary of the space of rational maps},
  JOURNAL = {Duke Math. J.},
 FJOURNAL = {Duke Mathematical Journal},
   VOLUME = {130},
     YEAR = {2005},
   NUMBER = {1},
    PAGES = {169--197},
  MRCLASS = {37F45}}
}
@comment{\url{ArXiv:math.DS/0403078}}

@comment{UPDATE}
@misc {arxiv0601109,
   AUTHOR = {DeMarco, Laura and Rumely, Robert},
    TITLE = {Transfinite diameter and the resultant},
  JOURNAL = {J. Reine Angew. Math.},
 FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
     YEAR = {2007},
     NOTE = {To appear},
  MRCLASS = {37F10},
}
@comment{\url{ArXiv:math.CV/0601109}}

@comment{UPDATE}
@misc {arxivDS0608539,
    AUTHOR = {Deninger, Christopher},
    TITLE = {$p$-adic entropy and a $p$-adic {F}uglede-{K}adison determinant},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.DS/0608539}},
   MRCLASS = {11D88},
}
@comment{Includes p-adic analogues of multivariable Mahler measures.}

@comment{UPDATE}
@misc {arxivNT0605724,
    AUTHOR = {Deninger, Christopher},
    TITLE = {A dynamical systems analogue of {L}ichtenbaum's conjectures 
          on special values of {H}asse-{W}eil zeta functions},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.NT/0605724}},
   MRCLASS = {11R42},
}

@incollection {MR1936368,
    AUTHOR = {Deninger, Christopher},
     TITLE = {A note on arithmetic topology and dynamical systems},
 BOOKTITLE = {Algebraic {N}umber {T}heory and {A}lgebraic {G}eometry},
    SERIES = {Contemp. Math.},
    VOLUME = {300},
     PAGES = {99--114},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2002},
   MRCLASS = {14F20 (11F23 37C25 37C27)},
  MRNUMBER = {MR1936368 (2004c:14030)},
MRREVIEWER = {Matilde Marcolli},
}

@article {MR1873325,
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  MRNUMBER = {MR1873325 (2003d:58041)},
MRREVIEWER = {Matilde Marcolli},
}

@incollection {MR1724887,
    AUTHOR = {Deninger, Christopher},
     TITLE = {On dynamical systems and their possible significance for
              arithmetic geometry},
 BOOKTITLE = {Regulators in {A}nalysis, {G}eometry and {N}umber {T}heory},
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MRREVIEWER = {Jan Nekov{\'a}{\v{r}}},
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     YEAR = {2005},
     NOTE = {unpublished, \url{ArXiv:math.NT/0505354}},
}

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@comment{NO REF}  
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    SERIES = {Publications Math\'ematiques d'Orsay [Mathematical
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@article {MR2113176,
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@article {MR1993500,
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   MRCLASS = {32T99 (32H50 37F10 37F50)},
  MRNUMBER = {MR1993500 (2004g:32028)},
MRREVIEWER = {Jean-Jacques Loeb},
}

@comment{UPDATE}
@misc {DvoZan2006,
   AUTHOR = {Dvornicich, R. and Zannier, U.},
    TITLE = {Cyclotomic {D}iophantine Problems
         ({H}ilbert Irreducibility and Invariant Sets for Polynomial Maps)},
     YEAR = {2006},
     NOTE = {Preprint, June 2006},
}

@comment{--EEE-- }

@article {MR2079832,
    AUTHOR = {Einsiedler, Manfred and Everest, Graham and Ward, Thomas},
     TITLE = {Periodic points for good reduction maps on curves},
   JOURNAL = {Geom. Dedicata},
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    VOLUME = {106},
      YEAR = {2004},
     PAGES = {29--41},
      ISSN = {0046-5755},
     CODEN = {GEMDAT},
   MRCLASS = {11G50 (11S05 37F10)},
  MRNUMBER = {MR2079832},
}
@incollection {MR2044517,
    AUTHOR = {Einsiedler, Manfred and Everest, Graham and Ward, Thomas},
     TITLE = {Morphic heights and periodic points},
 BOOKTITLE = {Number {T}heory (New York, 2003)},
     PAGES = {167--177},
 PUBLISHER = {Springer},
   ADDRESS = {New York},
      YEAR = {2004},
   MRCLASS = {11G50 (11S05)},
  MRNUMBER = {MR2044517 (2004m:11102)},
MRREVIEWER = {Joseph H. Silverman},
}
@article {MR1876275,
    AUTHOR = {Einsiedler, Manfred and Everest, Graham and Ward, Thomas},
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   JOURNAL = {J. Number Theory},
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    VOLUME = {91},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {256--273},
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   MRCLASS = {11G50 (11K55 37A45)},
  MRNUMBER = {MR1876275 (2003f:11092)},
MRREVIEWER = {Gregory P. B. Dresden},
}
@article {MR1777892,
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    VOLUME = {60},
      YEAR = {2000},
    NUMBER = {1-2},
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      ISSN = {0001-9054},
     CODEN = {AEMABN},
   MRCLASS = {22D45 (13C40 13E05 37A15 37A25 37A45)},
  MRNUMBER = {MR1777892 (2001j:22007)},
MRREVIEWER = {Yves Lacroix},
}

@misc {elkies:lowhtpts,
   AUTHOR = {Elkies, Noam},
    TITLE = {Nontorsion points of low height on elliptic curves over 
            $\mathbb{Q}$},
     YEAR = {2002},
     NOTE = {\url{www.math.harvard.edu/~elkies/low_height.html}}
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@incollection {MR1084181,
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@article {MR1027462,
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@article {MR1783650,
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  MRNUMBER = {MR1666050 (2000a:11099)},
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@article {MR1373343,
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  MRNUMBER = {MR1373343 (97e:11064)},
MRREVIEWER = {Gregory S. Call},
}
@article {everest:ellipticjensen,
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  JOURNAL = {J. London Math. Soc. (2)},
 FJOURNAL = {The Journal of the London Mathematical Society. Second Series},
   VOLUME = {59},
     YEAR = {1999},
   NUMBER = {1},
    PAGES = {21--36},
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@book {everestward:dynamicsbook,
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    TITLE = {Heights of polynomials and entropy in algebraic dynamics},
PUBLISHER = {Springer-Verlag London Ltd.},
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     YEAR = {1999},
    PAGES = {xii+211},
}

@comment{NO REF}
@comment{UPDATE}
@misc{math.DS/0705.1067,
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    note = {\url{arXiv:0705.1067v1}}
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@article {everestward:dynamicalheight,
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     YEAR = {1998},
   NUMBER = {4},
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}

@article {MR1938222,
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  MRNUMBER = {MR1938222 (2003j:11014)},
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@book {MR1990179,
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     TITLE = {Recurrence {S}equences},
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    VOLUME = {104},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {2003},
     PAGES = {xiv+318},
      ISBN = {0-8218-3387-1},
   MRCLASS = {11B37 (11B85 11G05 11J71 11K45 11T23 37B15 94A60)},
  MRNUMBER = {MR1990179 (2004c:11015)},
MRREVIEWER = {Yann Bugeaud},
}


@comment{--FFF-- }

@article {MR1707699,
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      ISSN = {0002-9947},
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   MRCLASS = {55M20 (37F10)},
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MRREVIEWER = {Evelyn L. Hart},
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  MRNUMBER = {MR1995861 (2004f:14038)},
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@article {MR1836365,
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      ISSN = {0253-4142},
   MRCLASS = {11G35 (11G20 14G20 14G25)},
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}
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 BOOKTITLE = {Arithmetic geometry \textup{(}Storrs, Conn., 1984\textup{)}},
     PAGES = {9--27},
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   MRCLASS = {11G10 (14K15)},
  MRNUMBER = {MR861971},
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@article {MR718935,
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@article {fatou:1919,
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@article {fatou:1920,
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@article {MR2092012,
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@article {arxiv0407471,
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@misc {arxiv0503720,
    AUTHOR = {Fernandez, Gabriela},
    TITLE = {Wandering {F}atou components on {$p$}-adic polynomial dynamics},
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     NOTE = {\url{ArXiv:math.DS/0503720}},
}
@comment{Rivera-Letelier notes: Fernandez shows that Benedetto's
examples are dense in an open subset of the space of polynomials over
$C_p$ of a given degree $\ge p + 1$.}

@article {flynnetal:cyclesofquads,
   AUTHOR = {Flynn, E. V. and Poonen, Bjorn and Schaefer, Edward F.},
    TITLE = {Cycles of quadratic polynomials and rational points on a
             genus-$2$ curve},
  JOURNAL = {Duke Math. J.},
 FJOURNAL = {Duke Mathematical Journal},
   VOLUME = {90},
     YEAR = {1997},
   NUMBER = {3},
    PAGES = {435--463},
}

@incollection {MR1332961,
    AUTHOR = {Forn{\ae}ss, John Erik and Sibony, Nessim},
     TITLE = {Complex dynamics in higher dimensions},
 BOOKTITLE = {Complex {P}otential {T}heory (Montreal, PQ, 1993)},
    SERIES = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
    VOLUME = {439},
     PAGES = {131--186},
 PUBLISHER = {Kluwer Acad. Publ.},
   ADDRESS = {Dordrecht},
      YEAR = {1994},
   MRCLASS = {32H50 (58F23)},
  MRNUMBER = {MR1332961 (96k:32057)},
MRREVIEWER = {Eric Bedford},
}

@article {MR1285389,
    AUTHOR = {Forn{\ae}ss, John Erik and Sibony, Nessim},
     TITLE = {Complex dynamics in higher dimension. {I}},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {222},
      YEAR = {1994},
     PAGES = {5, 201--231},
      ISSN = {0303-1179},
   MRCLASS = {32H50 (32H20 58F23)},
  MRNUMBER = {MR1285389 (95i:32036)},
MRREVIEWER = {Serguei M. Voronin},
}

@incollection {MR1369137,
    AUTHOR = {Fornaess, John Erik and Sibony, Nessim},
     TITLE = {Complex dynamics in higher dimension. {II}},
 BOOKTITLE = {Modern {M}ethods in {C}omplex {A}nalysis (Princeton, NJ, 1992)},
    SERIES = {Ann. of Math. Stud.},
    VOLUME = {137},
     PAGES = {135--182},
 PUBLISHER = {Princeton Univ. Press},
   ADDRESS = {Princeton, NJ},
      YEAR = {1995},
   MRCLASS = {32H50 (32C30 58F23)},
  MRNUMBER = {MR1369137 (97g:32033)},
MRREVIEWER = {Eric Bedford},
}
@book {MR2014891,
    AUTHOR = {Fresnel, Jean and van der Put, Marius},
     TITLE = {Rigid analytic geometry and its applications},
    SERIES = {Progress in Mathematics},
    VOLUME = {218},
 PUBLISHER = {Birkh\"auser Boston Inc.},
   ADDRESS = {Boston, MA},
      YEAR = {2004},
     PAGES = {xii+296},
      ISBN = {0-8176-4206-4},
   MRCLASS = {14G22 (30G06 30H05 32P05)},
  MRNUMBER = {MR2014891 (2004i:14023)},
MRREVIEWER = {Lorenzo Ramero},
}
@article {MR991490,
    AUTHOR = {Friedland, Shmuel and Milnor, John},
     TITLE = {Dynamical properties of plane polynomial automorphisms},
   JOURNAL = {Ergodic Theory Dynam. Systems},
  FJOURNAL = {Ergodic Theory and Dynamical Systems},
    VOLUME = {9},
      YEAR = {1989},
    NUMBER = {1},
     PAGES = {67--99},
      ISSN = {0143-3857},
   MRCLASS = {58F99},
  MRNUMBER = {MR991490 (90f:58163)},
MRREVIEWER = {M. Lyubich},
}

@comment{--GGG-- }

@article {MR1363145,
    AUTHOR = {Gallas, Jason A. C.},
     TITLE = {Units: remarkable points in dynamical systems},
   JOURNAL = {Phys. A},
  FJOURNAL = {Physica A. Statistical and Theoretical Physics},
    VOLUME = {222},
      YEAR = {1995},
    NUMBER = {1-4},
     PAGES = {125--151},
      ISSN = {0378-4371},
     CODEN = {PHYSAG},
   MRCLASS = {58F20 (11R27 58F08)},
  MRNUMBER = {MR1363145 (96m:58205)},
MRREVIEWER = {J. C. Lagarias},
}
@comment{The author studies the units in the moduli space of Henon maps}

@book {MR785216,
       KEY = {Geometry of K3 surfaces},
     TITLE = {G\'eom\'etrie des surfaces {$K3$}: modules et p\'eriodes},
      NOTE = {Papers from the seminar held in Palaiseau, October
              1981--January 1982,
              Ast\'erisque No. 126 (1985)},
 PUBLISHER = {Soci\'et\'e Math\'ematique de France},
   ADDRESS = {Paris},
      YEAR = {1985},
     PAGES = {1--193},
      ISSN = {0303-1179},
   MRCLASS = {32J15 (14J25 14J28 53C25)},
  MRNUMBER = {MR785216 (87h:32052)},
MRREVIEWER = {Werner Kleinert},
}

@phdthesis{getachew:thesis, 
   AUTHOR = {Getachew, Selemon},
    TITLE = {Galois Theory of Polynomial Iterates},
   SCHOOL = {Brown University},
     YEAR = {2000}
	}
@article {MR2255176,
    AUTHOR = {Ghioca, Dragos},
     TITLE = {Equidistribution for torsion points of a {D}rinfeld module},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {336},
      YEAR = {2006},
    NUMBER = {4},
     PAGES = {841--865},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {11G09 (11G50)},
  MRNUMBER = {MR2255176},
}
@comment{UPDATE}
@misc {arXiv:0704.1333,
    AUTHOR = {Ghioca, Dragos and Tucker, Thomas},
    TITLE = {A dynamical version of the {M}ordell-{L}ang conjecture for 
                      the additive group},
     YEAR = {2006},
     NOTE = {\url{arXiv:0704.1333}},
}
@comment{NO REF}
@comment{UPDATE}
@misc {arxiv0705.1954,
    AUTHOR = {Ghioca, Dragos and Tucker, Thomas and Zieve, Michael},
    TITLE = {Intersections of polynomial orbits, and a dynamical 
           {M}ordell-{L}ang conjecture},
     YEAR = {2007},
     NOTE = {\url{arXiv:0705.1954}},
}
@comment{UPDATE}
@misc {arxivNT0609120,
    AUTHOR = {Glockner, Helge},
    TITLE = {Equidistribution and integral points for {D}rinfeld modules},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.NT.0609120}},
}
@incollection {arxivFA0602081,
    AUTHOR = {Gl{\"o}ckner, Helge},
     TITLE = {Aspects of {$p$}-adic non-linear functional analysis},
 BOOKTITLE = {$p$-adic mathematical physics},
    SERIES = {AIP Conf. Proc.},
    VOLUME = {826},
     PAGES = {237--253},
 PUBLISHER = {Amer. Inst. Phys.},
   ADDRESS = {Melville, NY},
      YEAR = {2006},
   MRCLASS = {46S10 (47S10)},
  MRNUMBER = {MR2258689},
}
@comment{\url{ArXiv:math.FA/0602081}}

@comment{NO REF}
@misc {arxiv0610497,
    AUTHOR = {Gorodnik, Alexander and Oh, Hee and Shah, Nimish},
    TITLE = {Integral points on symmetric varieties and 
                {S}atake compatifications},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.NT/0610497}},
}

@book {MR1488696,
    AUTHOR = {Gouv{\^e}a, Fernando Q.},
     TITLE = {{$p$}-adic numbers},
    SERIES = {Universitext},
   EDITION = {Second},
      NOTE = {An introduction},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1997},
     PAGES = {vi+298},
      ISBN = {3-540-62911-4},
   MRCLASS = {11S80 (11-01 12J25)},
  MRNUMBER = {MR1488696 (98h:11155)},
}

@book {MR1397498,
    AUTHOR = {Graham, Ronald L. and Knuth, Donald E. and Patashnik, Oren},
     TITLE = {Concrete {M}athematics},
   EDITION = {Second},
      NOTE = {A foundation for computer science},
 PUBLISHER = {Addison-Wesley Publishing Company},
   ADDRESS = {Reading, MA},
      YEAR = {1994},
     PAGES = {xiv+657},
      ISBN = {0-201-55802-5},
   MRCLASS = {68-01 (00-01 00A05 05-01 68Rxx)},
  MRNUMBER = {MR1397498 (97d:68003)},
MRREVIEWER = {Volker Strehl},
}
@article {greenmatigon:padicdisk,
   AUTHOR = {Green, Barry and Matignon, Michel},
    TITLE = {Order $p$ automorphisms of the open disc of a $p$-adic field},
  JOURNAL = {J. Amer. Math. Soc.},
 FJOURNAL = {Journal of the American Mathematical Society},
   VOLUME = {12},
     YEAR = {1999},
   NUMBER = {1},
    PAGES = {269--303},
}

@book {MR1288523,
    AUTHOR = {Griffiths, Phillip and Harris, Joseph},
     TITLE = {Principles of {A}lgebraic {G}eometry},
    SERIES = {Wiley Classics Library},
      NOTE = {Reprint of the 1978 original},
 PUBLISHER = {John Wiley \& Sons Inc.},
   ADDRESS = {New York},
      YEAR = {1994},
     PAGES = {xiv+813},
      ISBN = {0-471-05059-8},
   MRCLASS = {14-01},
  MRNUMBER = {MR1288523 (95d:14001)},
}

@article {MR1948064,
    AUTHOR = {Guedj, Vincent and Sibony, Nessim},
     TITLE = {Dynamics of polynomial automorphisms of {$\mathbb{C}\sp k$}},
   JOURNAL = {Ark. Mat.},
  FJOURNAL = {Arkiv f\"or Matematik},
    VOLUME = {40},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {207--243},
      ISSN = {0004-2080},
     CODEN = {AKMTAJ},
   MRCLASS = {32H50 (37F10)},
  MRNUMBER = {MR1948064 (2004b:32029)},
MRREVIEWER = {Christian P. Wolf},
}

@incollection {MR1838286,
    AUTHOR = {Gundlach, Matthias and Khrennikov, Andrei and Lindahl,
              Karl-Olof},
     TITLE = {Topological transitivity for {$p$}-adic dynamical systems},
 BOOKTITLE = {$p$-adic functional analysis (Ioannina, 2000)},
    SERIES = {Lecture Notes in Pure and Appl. Math.},
    VOLUME = {222},
     PAGES = {127--132},
 PUBLISHER = {Dekker},
   ADDRESS = {New York},
      YEAR = {2001},
   MRCLASS = {37A45 (11S99 37A05 37B05 37E99)},
  MRNUMBER = {MR1838286 (2002d:37014)},
MRREVIEWER = {Anatoly N. Kochubei},
}
@article {MR1876486,
    AUTHOR = {Gundlach, Matthias and Khrennikov, Andrei and Lindahl,
              Karl-Olof},
     TITLE = {On ergodic behavior of {$p$}-adic dynamical systems},
   JOURNAL = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
  FJOURNAL = {Infinite Dimensional Analysis, Quantum Probability and Related
              Topics},
    VOLUME = {4},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {569--577},
      ISSN = {0219-0257},
   MRCLASS = {37A45 (11S05 37E99 37F99)},
  MRNUMBER = {MR1876486 (2002j:37015)},
MRREVIEWER = {Manfred Einsiedler},
}


@comment{NO REF}
@article {MR0437489,
    AUTHOR = {Gy{\H{o}}ry, K.},
     TITLE = {Sur les polyn\^omes \`a coefficients entiers et de
              discriminant donn\'e},
   JOURNAL = {Acta Arith.},
  FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica},
    VOLUME = {23},
      YEAR = {1973},
     PAGES = {419--426},
      ISSN = {0065-1036},
   MRCLASS = {12A20},
  MRNUMBER = {MR0437489 (55 \#10419a)},
MRREVIEWER = {Maurice Mignotte},
}

@comment{NO REF}
@article {MR0437490,
    AUTHOR = {Gy{\H{o}}ry, K.},
     TITLE = {Sur les polyn\^omes \`a coefficients entiers et de
              discriminant donn\'e. {II}},
   JOURNAL = {Publ. Math. Debrecen},
  FJOURNAL = {Publicationes Mathematicae Debrecen},
    VOLUME = {21},
      YEAR = {1974},
     PAGES = {125--144},
      ISSN = {0033-3883},
   MRCLASS = {12A20},
  MRNUMBER = {MR0437490 (55 \#10419b)},
MRREVIEWER = {Maurice Mignotte},
}

@comment{NO REF}
@article {MR0437491,
    AUTHOR = {Gy{\H{o}}ry, K.},
     TITLE = {Sur les polyn\^omes \`a coefficients entiers et de
              discriminant donn\'e. {III}},
   JOURNAL = {Publ. Math. Debrecen},
  FJOURNAL = {Publicationes Mathematicae Debrecen},
    VOLUME = {23},
      YEAR = {1976},
    NUMBER = {1-2},
     PAGES = {141--165},
      ISSN = {0033-3883},
   MRCLASS = {12A20},
  MRNUMBER = {MR0437491 (55 \#10419c)},
MRREVIEWER = {Maurice Mignotte},
}

@comment{--HHH-- }

@book {MR1088254,
    AUTHOR = {Haaser, Norman B. and Sullivan, Joseph A.},
     TITLE = {Real {A}nalysis},
      NOTE = {Revised reprint of the 1971 original},
 PUBLISHER = {Dover Publications Inc.},
   ADDRESS = {New York},
      YEAR = {1991},
     PAGES = {x+341},
      ISBN = {0-486-66509-7},
   MRCLASS = {00A05 (26-01 28-01 46-01)},
  MRNUMBER = {MR1088254 (92a:00006)},
}

@article {MR1963443,
    AUTHOR = {Halter-Koch, F. and Kone{\v{c}}n{\'a}, P.},
     TITLE = {Polynomial cycles in finite extension fields},
   JOURNAL = {Math. Slovaca},
  FJOURNAL = {Mathematica Slovaca},
    VOLUME = {52},
      YEAR = {2002},
    NUMBER = {5},
     PAGES = {531--535},
      ISSN = {0139-9918},
   MRCLASS = {11C08 (11T06)},
  MRNUMBER = {MR1963443 (2003m:11047)},
MRREVIEWER = {W. Narkiewicz},
}

@article {MR2001h:11028,
    AUTHOR = {Halter-Koch, F. and Narkiewicz, W.},
     TITLE = {Scarcity of finite polynomial orbits},
      NOTE = {Dedicated to Professor K\'alm\'an Gy\H ory on the occasion of
              his 60th birthday},
   JOURNAL = {Publ. Math. Debrecen},
  FJOURNAL = {Publicationes Mathematicae Debrecen},
    VOLUME = {56},
      YEAR = {2000},
    NUMBER = {3-4},
     PAGES = {405--414},
      ISSN = {0033-3883},
     CODEN = {PUMAAR},
   MRCLASS = {11C08 (11R09 13B25 37B99)},
  MRNUMBER = {2001h:11028},
MRREVIEWER = {Liang-Chung Hsia},
}

@incollection {kochnarkdynunits97,
    AUTHOR = {Halter-Koch, F. and Narkiewicz, W.},
     TITLE = {Polynomial cycles and dynamical units},
 BOOKTITLE = {Proceedings of a Conference on 
              Analytic and Elementary Number Theory (Wien 1996)},
     PAGES = {70--80},
      YEAR = {1997},
      NOTE = {\url{www.boku.ac.at/math/proc.html}},
}

@article {MR94j:14016,
    AUTHOR = {Halter-Koch, F. and Narkiewicz, W.},
     TITLE = {Finiteness properties of polynomial mappings},
   JOURNAL = {Math. Nachr.},
  FJOURNAL = {Mathematische Nachrichten},
    VOLUME = {159},
      YEAR = {1992},
     PAGES = {7--18},
      ISSN = {0025-584X},
     CODEN = {MTMNAQ},
   MRCLASS = {14E05 (12F20)},
  MRNUMBER = {94j:14016},
MRREVIEWER = {Gary H. Meisters},
}

@article {MR1328818,
    AUTHOR = {Halter-Koch, F. and Narkiewicz, W.},
     TITLE = {Polynomial cycles in finitely generated domains},
   JOURNAL = {Monatsh. Math.},
  FJOURNAL = {Monatshefte f\"ur Mathematik},
    VOLUME = {119},
      YEAR = {1995},
    NUMBER = {4},
     PAGES = {275--279},
      ISSN = {0026-9255},
     CODEN = {MNMTA2},
   MRCLASS = {13G05 (13B25 14E05)},
  MRNUMBER = {MR1328818 (96d:13035)},
MRREVIEWER = {Jean-Luc Chabert},
}

@article {MR0119227,
    AUTHOR = {Harris, Bernard},
     TITLE = {Probability distributions related to random mappings},
   JOURNAL = {Ann. Math. Statist.},
    VOLUME = {31},
      YEAR = {1960},
     PAGES = {1045--1062},
   MRCLASS = {60.00 (05.00)},
  MRNUMBER = {MR0119227 (22 \#9993)},
MRREVIEWER = {J. Riordan},
}

@book {MR1416564,
    AUTHOR = {Harris, Joe},
     TITLE = {Algebraic {G}eometry},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {133},
      NOTE = {A first course,
              Corrected reprint of the 1992 original},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1995},
     PAGES = {xx+328},
      ISBN = {0-387-97716-3},
   MRCLASS = {14-01},
  MRNUMBER = {MR1416564 (97e:14001)},
}

@book {hartshorne, 
    AUTHOR = {Hartshorne, Robin},
     TITLE = {Algebraic {G}eometry},
      NOTE = {Graduate Texts in Mathematics, No. 52},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1977},
     PAGES = {xvi+496},
      ISBN = {0-387-90244-9},
   MRCLASS = {14-01},
  MRNUMBER = {MR0463157 (57 \#3116)},
MRREVIEWER = {Robert Speiser},
}

@comment{UPDATE}
@misc {arxiv0604521,
   AUTHOR = {Hasselblatt, Boris and Propp, James},
    TITLE = {Monomial maps and algebraic entropy},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.DS/0604521}},
}

@article {MR0422932,
    AUTHOR = {H{\'e}non, M.},
     TITLE = {A two-dimensional mapping with a strange attractor},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {50},
      YEAR = {1976},
    NUMBER = {1},
     PAGES = {69--77},
      ISSN = {0010-3616},
   MRCLASS = {40A05},
  MRNUMBER = {MR0422932 (54 \#10917)},
MRREVIEWER = {P. Fischer},
}

@inproceedings{hermanyoccoz:nonarchdynamics, 
   AUTHOR = {M. Herman and J.-C. Yoccoz},
    TITLE = {Generalizations of some theorems of small divisors to non-Archimedean fields},
BOOKTITLE = {Geometric Dynamics},
     YEAR = {1983},
    PAGES = {408--447},
 PUBLISHER = {Springer-Verlag},
   SERIES = {Lecture Notes in Mathematics},
   VOLUME = {1007},
     NOTE = {Rio de Janairo (1981)}
}

@book {hindrysilverman:diophantinegeometry,
    AUTHOR = {Hindry, Marc and Silverman, Joseph H.},
     TITLE = {Diophantine {G}eometry},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {201},
      NOTE = {An introduction},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {2000},
     PAGES = {xiv+558},
      ISBN = {0-387-98975-7; 0-387-98981-1},
   MRCLASS = {11Gxx (11-02 11G10 11G30 11G50 14G25)},
  MRNUMBER = {MR1745599 (2001e:11058)},
MRREVIEWER = {Dino J. Lorenzini},
}

@article {hindrysilverman:integralpts,
    AUTHOR = {Hindry, Marc and Silverman, Joseph H.},
     TITLE = {The canonical height and integral points on elliptic curves},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {93},
      YEAR = {1988},
    NUMBER = {2},
     PAGES = {419--450},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11G05 (11D25 14G25)},
  MRNUMBER = {MR948108 (89k:11044)},
MRREVIEWER = {Ernst-Ulrich Gekeler},
}

@article {hindrysilverman:torsionpoints,
    AUTHOR = {Hindry, Marc and Silverman, Joseph H.},
     TITLE = {Sur le nombre de points de torsion rationnels sur une courbe
              elliptique},
   JOURNAL = {C.~R.~Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {329},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {97--100},
      ISSN = {0764-4442},
     CODEN = {CASMEI},
   MRCLASS = {11G05 (11G50 14G05)},
  MRNUMBER = {MR1710502 (2000g:11047)},
MRREVIEWER = {Carlo Gasbarri},
}

@incollection {hindrysilverman:lehmer, 
    AUTHOR = {Hindry, Marc and Silverman, Joseph H.},
     TITLE = {On {L}ehmer's conjecture for elliptic curves},
 BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, Paris 1988--1989},
    SERIES = {Progr. Math.},
    VOLUME = {91},
     PAGES = {103--116},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Boston, MA},
      YEAR = {1990},
   MRCLASS = {11G05 (14G25)},
  MRNUMBER = {MR1104702 (92e:11062)},
MRREVIEWER = {Philippe Satg{\'e}},
}

@article {hsia:weakneronmodel,
    AUTHOR = {Hsia, Liang-Chung},
     TITLE = {A weak {N}\'eron model with applications to {$p$}-adic
              dynamical systems},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {100},
      YEAR = {1996},
    NUMBER = {3},
     PAGES = {277--304},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {14G20 (14E99)},
  MRNUMBER = {MR1387667 (97j:14024)},
MRREVIEWER = {Guido Van Steen},
}

@article {hsia:periodicpoint,
    AUTHOR = {Hsia, Liang-Chung},
     TITLE = {Closure of periodic points over a non-{A}rchimedean field},
   JOURNAL = {J. London Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {62},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {685--700},
      ISSN = {0024-6107},
     CODEN = {JLMSAK},
   MRCLASS = {11S80 (37F10 37F50)},
  MRNUMBER = {MR1794277 (2001j:11117)},
MRREVIEWER = {Michael E. Zieve},
}

@article {hsia:dynamicalzeta,
    AUTHOR = {Hsia, Liang-Chung},
     TITLE = {On the dynamical height zeta functions},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {63},
      YEAR = {1997},
    NUMBER = {1},
     PAGES = {146--169},
      ISSN = {0022-314X},
     CODEN = {JNUTA9},
   MRCLASS = {11G30 (11M45 14G10)},
  MRNUMBER = {MR1438655 (99c:11076)},
MRREVIEWER = {Emmanuel Peyre},
}

@UNPUBLISHED{hsia:padicequidist,
   AUTHOR  = {Hsia, Liang-Chung},
   TITLE   = {$p$-adic equidistribution theorems},
   NOTE    = {manuscript},
   YEAR    = {2003}
}

@book {MR665428,
    AUTHOR = {Hua, Loo Keng},
     TITLE = {Introduction to {N}umber {T}heory},
      NOTE = {Translated from the Chinese by Peter Shiu},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1982},
     PAGES = {xviii+572},
      ISBN = {3-540-10818-1},
   MRCLASS = {10-01},
  MRNUMBER = {MR665428 (83f:10001)},
}

@incollection {hubbard:henonmap,
    AUTHOR = {Hubbard, John},
     TITLE = {The {H}\'enon mapping in the complex domain},
 BOOKTITLE = {Chaotic {D}ynamics and {F}ractals (Atlanta, Ga., 1985)},
    SERIES = {Notes Rep. Math. Sci. Engrg.},
    VOLUME = {2},
     PAGES = {101--111},
 PUBLISHER = {Academic Press},
   ADDRESS = {Orlando, FL},
      YEAR = {1986},
   MRCLASS = {58F11 (30D05)},
  MRNUMBER = {MR858009},
}

@article {MR1768111,
    AUTHOR = {Hubbard, John and Papadopol, Peter and Veselov, Vladimir},
     TITLE = {A compactification of {H}\'enon mappings in {$\mathbb{C}\sp 2$}
              as dynamical systems},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {184},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {203--270},
      ISSN = {0001-5962},
     CODEN = {ACMAA8},
   MRCLASS = {37F10 (32H50)},
  MRNUMBER = {MR1768111 (2001f:37056)},
MRREVIEWER = {Adrien Douady},
}

@incollection {MR1315537,
    AUTHOR = {Hubbard, John and Schleicher, Dierk},
     TITLE = {The spider algorithm},
 BOOKTITLE = {Complex {D}ynamical {S}ystems (Cincinnati, OH, 1994)},
    SERIES = {Proc. Sympos. Appl. Math.},
    VOLUME = {49},
     PAGES = {155--180},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {1994},
   MRCLASS = {58F23 (30D05)},
  MRNUMBER = {MR1315537},
}

@phdthesis{hutz:thesis, 
    AUTHOR = {Hutz, Benjamin},
     TITLE = {Arithmetic Dynamics on Varieties in Dimension Greater Than One},
   SCHOOL = {Brown University},
     YEAR = {2007}
}


@comment{--III-- }

@article {MR2076045,
    AUTHOR = {Ionascu, E. and Stanica, P.},
     TITLE = {Effective asymptotics for some nonlinear recurrences and
              almost doubly-exponential sequences},
   JOURNAL = {Acta Math. Univ. Comenian. (N.S.)},
  FJOURNAL = {Acta Mathematica Universitatis Comenianae. New Series},
    VOLUME = {73},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {75--87},
      ISSN = {0862-9544},
   MRCLASS = {11B37 (11B83 11K31)},
  MRNUMBER = {MR2076045 (2005f:11018)},
MRREVIEWER = {C{\'e}cile Dartyge},
}
@book {irelandrosen:gtm, 
    AUTHOR = {Ireland, Kenneth and Rosen, Michael},
     TITLE = {A {C}lassical {I}ntroduction to {M}odern {N}umber {T}heory},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {84},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1990},
     PAGES = {xiv+389},
      ISBN = {0-387-97329-X},
   MRCLASS = {11-01 (11-02)},
  MRNUMBER = {MR1070716 (92e:11001)},
MRREVIEWER = {Glenn Stevens},
}

@comment{--JJJ-- }
@book {MR734483,
    AUTHOR = {J{\"a}nich, Klaus},
     TITLE = {Topology},
    SERIES = {Undergraduate Texts in Mathematics},
      NOTE = {With a chapter by Theodor Br\"ocker,
              Translated from the German by Silvio Levy},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1984},
     PAGES = {ix+192},
      ISBN = {0-387-90892-7},
   MRCLASS = {54-01 (55-01 57-01)},
  MRNUMBER = {MR734483 (85a:54001)},
}

@article {MR2062277,
    AUTHOR = {Jogia, Danesh and Roberts, John A. G. and Vivaldi, Franco},
     TITLE = {The {H}asse-{W}eil bound and integrability detection in
              rational maps},
   JOURNAL = {J. Nonlinear Math. Phys.},
  FJOURNAL = {Journal of Nonlinear Mathematical Physics},
    VOLUME = {10},
      YEAR = {2003},
    NUMBER = {suppl. 2},
     PAGES = {166--180},
      ISSN = {1402-9251},
   MRCLASS = {37F99 (11Z05 37J10 37J35)},
  MRNUMBER = {MR2062277 (2005b:37099)},
}

@article {MR2200430,
    AUTHOR = {Jogia, Danesh and Roberts, John A. G. and Vivaldi, Franco},
     TITLE = {An algebraic geometric approach to integrable maps of the
              plane},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {39},
      YEAR = {2006},
    NUMBER = {5},
     PAGES = {1133--1149},
      ISSN = {0305-4470},
     CODEN = {JPHAC5},
   MRCLASS = {14H52 (11G05 37F99 37J35)},
  MRNUMBER = {MR2200430 (2006k:14055)},
MRREVIEWER = {Todor E. Milanov},
}

@phdthesis{jones:thesis, 
    AUTHOR = {Jones, Rafe},
     TITLE = {{G}alois {M}artingales and the {$p$}-adic {H}yperbolic
           {M}andelbrot {S}et},
   SCHOOL = {Brown University},
     YEAR = {2005}
}

@comment{UPDATE}
@article {jones:itgaltow,
    AUTHOR = {Jones, Rafe},
     TITLE = {Iterated {G}alois towers, their associated martingales, 
                   and the $p$-adic {M}andelbrot set},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
      YEAR = {2007},
      NOTE = {To appear}
}

@comment{UPDATE}
@misc {jones:denprimdiv,
    AUTHOR = {Jones, Rafe},
    TITLE = {The density of prime divisors in the arithmetic
                   dynamics of quadratic polynomials},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.NT/0612415 }},
}
@article {julia:1918,
    AUTHOR = {Julia, G.},
     TITLE = {M\'emoire sur L'it\'eration des Fonctions Rationelles},
   JOURNAL = {Journal de Math. Pures et Appl.},
    VOLUME = {8},
      YEAR = {1918},
     PAGES = {47--245},
}

@article {MR1509242,
    AUTHOR = {Julia, Gaston},
     TITLE = {M\'emoire sur la permutabilit\'e des fractions rationnelles},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (3)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
              Troisi\`eme S\'erie},
    VOLUME = {39},
      YEAR = {1922},
     PAGES = {131--215},
      ISSN = {0012-9593},
   MRCLASS = {Contributed Item},
  MRNUMBER = {MR1509242},
}

@comment{--KKK-- }

@article {MR1172689,
    AUTHOR = {Kamienny, S.},
     TITLE = {Torsion points on elliptic curves and {$q$}-coefficients of
              modular forms},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {109},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {221--229},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11G05 (11F30 11G18 14H52)},
  MRNUMBER = {MR1172689 (93h:11054)},
MRREVIEWER = {Glenn Stevens},
}
@book {MR1326374,
    AUTHOR = {Katok, Anatole and Hasselblatt, Boris},
     TITLE = {Introduction to the {M}odern {T}heory of {D}ynamical {S}ystems},
    SERIES = {Encyclopedia of Mathematics and its Applications},
    VOLUME = {54},
      NOTE = {With a supplementary chapter by Katok and Leonardo Mendoza},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1995},
     PAGES = {xviii+802},
      ISBN = {0-521-34187-6},
   MRCLASS = {58Fxx (34Cxx 34Dxx 58-01 58F11 58F15)},
  MRNUMBER = {MR1326374 (96c:58055)},
MRREVIEWER = {Edoh Amiran},
}

@article {kawaguchi:periodicpts,
    AUTHOR = {Kawaguchi, Shu},
     TITLE = {Some remarks on rational periodic points},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {6},
      YEAR = {1999},
    NUMBER = {5-6},
     PAGES = {495--509},
      ISSN = {1073-2780},
   MRCLASS = {14G05 (11G35 11G50)},
  MRNUMBER = {2001g:14035},
}

@article{arxiv0405007,
    AUTHOR = {Kawaguchi, Shu},
     TITLE = {Canonical height functions for affine plane automorphisms},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {335},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {285--310},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {11G50 (32H50 37F10)},
  MRNUMBER = {MR2221115},
}

@article {arxiv0405006,
    AUTHOR = {Kawaguchi, Shu},
     TITLE = {Canonical heights, invariant currents, and dynamical
              eigensystems of morphisms for line bundles},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {597},
      YEAR = {2006},
     PAGES = {135--173},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {14Gxx (11G50 37Fxx)},
  MRNUMBER = {MR2264317},
}
@comment{\url{ArXiv:math.NT/0405006}}

@comment{UPDATE}
@misc {kawrandom2005,
    AUTHOR = {Kawaguchi, Shu},
    TITLE = {Canonical heights for random iterations in certain
                   varieties}, 
     YEAR = {2005},
     NOTE = {Preprint},
}
@comment{UPDATE}
@misc {kawtopent2005,
    AUTHOR = {Kawaguchi, Shu},
    TITLE = {Projective surface automorphisms of positive
                 topological entropy from an arithmetic viewpoint},
     YEAR = {2005},
     NOTE = {Preprint},
}

@comment{UPDATE}
@article {kawsilidht2006,
    AUTHOR = {Kawaguchi, Shu and Silverman, Joseph H.},
    TITLE = {Dynamics of projective morphisms 
             having identical canonical heights},
  JOURNAL = {Proc. Lond. Math. Soc., II. Ser.},
 FJOURNAL = {Proceedings of the London Mathematical Society. Second Series},
     YEAR = {2007},
     NOTE = {To appear},
}

@comment{UPDATE}
@misc {kawsilarithcompl2006,
    AUTHOR = {Kawaguchi, Shu and Silverman, Joseph H.},
    TITLE = {Arithmetic complexity of morphisms},
     YEAR = {2006},
     NOTE = {Preprint},
}


@comment{UPDATE}
@misc {kawsilholdergreen2006,
    AUTHOR = {Kawaguchi, Shu and Silverman, Joseph H.},
    TITLE = {Nonarchimedean {G}reen Functions and
             Dynamics on Projective Space},
     YEAR = {2006},
     NOTE = {Preprint},
}

@inproceedings{keen:juliasets, 
   AUTHOR = {Keen, Linda},
    TITLE = {Julia sets of rational maps},
BOOKTITLE = {Complex Dynamical Systems},
     YEAR = {1994},
    PAGES = {71--90},
PUBLISHER = {American Mathematical Society},
   SERIES = {Proceedings of Symposia in Applied Mathematics},
   VOLUME = {49},
     NOTE = {Cincinnati (1994)}
	}

@article {arxiv0511204,
    AUTHOR = {Khamraev, Murod and Mukhamedov, Farrukh},
     TITLE = {On a class of rational {$p$}-adic dynamical systems},
   JOURNAL = {J. Math. Anal. Appl.},
  FJOURNAL = {Journal of Mathematical Analysis and Applications},
    VOLUME = {315},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {76--89},
      ISSN = {0022-247X},
     CODEN = {JMANAK},
   MRCLASS = {37F10 (11S99 37A25)},
  MRNUMBER = {MR2196531 (2006j:37051)},
MRREVIEWER = {Liang-Chung Hsia},
}
@comment{Detailed analysis of dynamics of ax^2/(bx+c)}

@article {MR1696062,
    AUTHOR = {Khrennikov, Andrei},
     TITLE = {{$p$}-adic dynamical systems: description of concurrent
              struggle in a biological population with limited growth},
   JOURNAL = {Dokl. Akad. Nauk},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Doklady Akademii Nauk},
    VOLUME = {361},
      YEAR = {1998},
    NUMBER = {6},
     PAGES = {752--754},
      ISSN = {0869-5652},
   MRCLASS = {92D25 (11S85 11Z05 37E99 37N25)},
  MRNUMBER = {MR1696062 (2000d:92022)},
MRREVIEWER = {Eugen Belokolos},
}
@book {MR1746953,
    AUTHOR = {Khrennikov, Andrei},
     TITLE = {Non-{A}rchimedean analysis: quantum paradoxes, dynamical
              systems and biological models},
    SERIES = {Mathematics and its Applications},
    VOLUME = {427},
 PUBLISHER = {Kluwer Academic Publishers},
   ADDRESS = {Dordrecht},
      YEAR = {1997},
     PAGES = {xviii+371},
      ISBN = {0-7923-4800-1},
   MRCLASS = {81-02 (00A69 11S85 11Z05 46S10 81P05)},
  MRNUMBER = {MR1746953 (2001h:81004)},
MRREVIEWER = {Bing Hong Wang},
}

@article {MR1989827,
    AUTHOR = {Khrennikov, Andrei and Nilsson, Marcus},
     TITLE = {Behaviour of {H}ensel perturbations of {$p$}-adic monomial
              dynamical systems},
   JOURNAL = {Anal. Math.},
  FJOURNAL = {Analysis Mathematica},
    VOLUME = {29},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {107--133},
      ISSN = {0133-3852},
     CODEN = {ANMADK},
   MRCLASS = {11S85 (12J25 37B99)},
  MRNUMBER = {MR1989827 (2004g:11110)},
MRREVIEWER = {Teturo Kamae},
}
@incollection {MR1977444,
    AUTHOR = {Khrennikov, Andrei and Nilsson, Marcus and Nyqvist, Robert},
     TITLE = {The asymptotic number of periodic points of discrete
              polynomial {$p$}-adic dynamical systems},
 BOOKTITLE = {Ultrametric functional analysis (Nijmegen, 2002)},
    SERIES = {Contemp. Math.},
    VOLUME = {319},
     PAGES = {159--166},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2003},
   MRCLASS = {11S20 (37E15 37E99)},
  MRNUMBER = {MR1977444 (2004b:11158)},
MRREVIEWER = {Liang-Chung Hsia},
}
@article {MR1913640,
    AUTHOR = {Khrennikov, Andrei},
     TITLE = {Small denominators in complex {$p$}-adic dynamics},
   JOURNAL = {Indag. Math. (N.S.)},
  FJOURNAL = {Koninklijke Nederlandse Akademie van Wetenschappen.
              Indagationes Mathematicae. New Series},
    VOLUME = {12},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {177--189},
      ISSN = {0019-3577},
   MRCLASS = {11S85 (37F10)},
  MRNUMBER = {MR1913640 (2003e:11128)},
MRREVIEWER = {Manfred Einsiedler},
}

@article{DDNS559, 
   author = {Khrennikov, Andrei},
    title = {{$p$}-Adic discrete dynamical systems and collective behaviour of
          information states in cognitive models},
  journal = {Discrete Dynamics in Nature and Society},
     year = {2000},
   volume = {5},
   number = {1},
    pages = {59-69}
}

@article {MR1858076,
    AUTHOR = {Khrennikov, Andrei and Nilsson, Marcus},
     TITLE = {On the number of cycles of {$p$}-adic dynamical systems},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {90},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {255--264},
      ISSN = {0022-314X},
     CODEN = {JNUTA9},
   MRCLASS = {11S85 (37F10)},
  MRNUMBER = {MR1858076 (2002g:11172)},
MRREVIEWER = {Liang-Chung Hsia},
}
@incollection {MR1924983,
    AUTHOR = {Khrennikov, Andrei and Lindahl, Karl-Olof and Gundlach,
              Matthias},
     TITLE = {Ergodicity in the {$p$}-adic framework},
 BOOKTITLE = {Operator {M}ethods in {O}rdinary and {P}artial {D}ifferential
              {E}quations (Stockholm, 2000)},
    SERIES = {Oper. Theory Adv. Appl.},
    VOLUME = {132},
     PAGES = {245--251},
 PUBLISHER = {Birkh\"auser},
   ADDRESS = {Basel},
      YEAR = {2002},
   MRCLASS = {37E99 (11S85 37A99)},
  MRNUMBER = {MR1924983 (2003g:37083)},
}
@incollection {MR1830516,
    AUTHOR = {Khrennikov, Andrei},
     TITLE = {Ergodic and non-ergodic behaviour for dynamical systems in
              rings of {$p$}-adic integers},
 BOOKTITLE = {Fourth Italian-Latin American Conference on Applied and
              Industrial Mathematics (Havana, 2001)},
     PAGES = {404--409},
 PUBLISHER = {Inst. Cybern. Math. Phys., Havana},
      YEAR = {2001},
   MRCLASS = {37A45 (11S80 37A05)},
  MRNUMBER = {MR1830516 (2002b:37008)},
MRREVIEWER = {Anatoly N. Kochubei},
}

@book {MR2105195,
    AUTHOR = {Khrennikov, Andrei and Nilson, Marcus},
     TITLE = {{$p$}-adic {D}eterministic and {R}andom {D}ynamics},
    SERIES = {Mathematics and {I}ts Applications},
    VOLUME = {574},
 PUBLISHER = {Kluwer Academic Publishers},
   ADDRESS = {Dordrecht},
      YEAR = {2004},
     PAGES = {xviii+270},
      ISBN = {1-4020-2659-5},
   MRCLASS = {37F99 (11S85 28C10 28D15 37H99 37N25 92B20)},
  MRNUMBER = {MR2105195},
}

@comment{NO REF}
@comment{UPDATE}
@misc{math.DS/0701899,
    title = {Measurable Dynamics of Maps on Profinite Groups},
    author = {James Kingsbery and Alex Levin and Anatoly Preygel and Cesar
        E. Silva},
    note = {\url{arXiv:math.DS/0701899}}
}

@article {kiwi2006,
    AUTHOR = {Kiwi, Jan},
     TITLE = {Puiseux series polynomial dynamics and iteration of complex cubic
                     polynomials},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {56},
      YEAR = {2006},
    NUMBER = {5},
     PAGES = {1337--1404},
}
@comment{Rivera-Letelier notes: Kiwi shows that there are no wandering
domains for polynomial maps of degree 3 in the field of Puiseaux
series (the main result of this paper shows a deep connection between
ultrametric and complex dynamics)}

@incollection {MR1928528,
    AUTHOR = {Kleinbock, Dmitry and Shah, Nimish and Starkov, Alexander},
     TITLE = {Dynamics of subgroup actions on homogeneous spaces of {L}ie
              groups and applications to number theory},
 BOOKTITLE = {Handbook of {D}ynamical {S}ystems, Vol.\ 1A},
     PAGES = {813--930},
 PUBLISHER = {North-Holland},
   ADDRESS = {Amsterdam},
      YEAR = {2002},
   MRCLASS = {22F30 (11E57 22E30 37A45 37C85)},
  MRNUMBER = {MR1928528 (2004b:22021)},
MRREVIEWER = {Mikhail S. Kulikov},
}

@book {MR1193029,
    AUTHOR = {Knapp, Anthony W.},
     TITLE = {Elliptic {C}urves},
    SERIES = {Mathematical Notes},
    VOLUME = {40},
 PUBLISHER = {Princeton University Press},
   ADDRESS = {Princeton, NJ},
      YEAR = {1992},
     PAGES = {xvi+427},
      ISBN = {0-691-08559-5},
   MRCLASS = {11G05 (11-01 11F11 14H52)},
  MRNUMBER = {MR1193029 (93j:11032)},
MRREVIEWER = {Joseph H. Silverman},
}

@book {MR1216136,
    AUTHOR = {Koblitz, Neal},
     TITLE = {Introduction to {E}lliptic {C}urves and {M}odular {F}orms},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {97},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1993},
     PAGES = {x+248},
      ISBN = {0-387-97966-2},
   MRCLASS = {11G05 (11F11 11F37 11G40 14H52)},
  MRNUMBER = {MR1216136 (94a:11078)},
}
@book {MR754003,
    AUTHOR = {Koblitz, Neal},
     TITLE = {{$p$}-adic {N}umbers, {$p$}-adic {A}nalysis, and {Z}eta-{F}unctions},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {58},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1984},
     PAGES = {xii+150},
      ISBN = {0-387-96017-1},
   MRCLASS = {11Q25 (11S80)},
  MRNUMBER = {MR754003 (86c:11086)},
}

@comment{UPDATE}
@misc {arxiv0608105,
    AUTHOR = {Kra, Bryna},
    TITLE = {Ergodic Methods in Additive Combinatorics},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.DS/0608105}},
}
@comment{Survey article based on four lectures}


@comment{--LLL-- }

@incollection {lagarias:numbertheoryanddynamics,
    AUTHOR = {Lagarias, J. C.},
     TITLE = {Number theory and dynamical systems},
 BOOKTITLE = {The {U}nreasonable {E}ffectiveness of {N}umber {T}heory (Orono, ME,
              1991)},
    SERIES = {Proc. Sympos. Appl. Math.},
    VOLUME = {46},
     PAGES = {35--72},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {1992},
   MRCLASS = {11Z50 (11K50 58F27 82D25)},
  MRNUMBER = {MR1195841 (93m:11143)},
MRREVIEWER = {M. Mend{\`e}s France},
}
@misc {arxiv0608208,
    AUTHOR = {Lagarias, J. C.},
    TITLE = {The $3x+1$ Problem: {A}n Annotated Bibliography, {I} \& {I}{I}},
     YEAR = {2006},
     NOTE = {\url{ArXiv:math.NT/0309224}, \url{ArXiv:math.NT/0608208}},
}



@comment{NO REF}
@article {lagariassloan2004,
    AUTHOR = {Lagarias, J. C.  and Sloane, N. J. A. },
     TITLE = {Approximate Squaring},
   JOURNAL = {Experimental Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {13},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {113--128},
}

@book{lang:numbertheory,
    AUTHOR = {Lang, Serge},
     TITLE = {Algebraic {N}umber {T}heory},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {110},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1994},
     PAGES = {xiv+357},
      ISBN = {0-387-94225-4},
   MRCLASS = {11Rxx (11-01 11-02)},
  MRNUMBER = {MR1282723 (95f:11085)},
MRREVIEWER = {M. Ram Murty},
}

@book{lang:diophantinegeometry, 
    AUTHOR = {Lang, Serge},
     TITLE = {Fundamentals of {D}iophantine {G}eometry},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1983},
     PAGES = {xviii+370},
      ISBN = {0-387-90837-4},
   MRCLASS = {11-02 (11Dxx 11Gxx 14G25)},
  MRNUMBER = {MR715605 (85j:11005)},
MRREVIEWER = {Gerd Faltings},
}

@book{lang:algebra, 
    AUTHOR = {Lang, Serge},
     TITLE = {Algebra},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {211},
   EDITION = {third},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {2002},
     PAGES = {xvi+914},
      ISBN = {0-387-95385-X},
   MRCLASS = {00A05 (15-02)},
  MRNUMBER = {MR1878556 (2003e:00003)},
}

@book {MR518817,
    AUTHOR = {Lang, Serge},
     TITLE = {Elliptic {C}urves: {D}iophantine {A}nalysis},
    SERIES = {Grund\-leh\-ren der Mathematischen Wissenschaften},
    VOLUME = {231},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1978},
     PAGES = {xi+261},
      ISBN = {3-540-08489-4},
   MRCLASS = {10B15 (10Fxx 14G25)},
  MRNUMBER = {MR518817 (81b:10009)},
MRREVIEWER = {A. J. van der Poorten},
}

@book {langalgabelianfncs,
    AUTHOR = {Lang, Serge},
     TITLE = {Introduction to {A}lgebraic and {A}belian {F}unctions},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1982},
   EDITION = {2},
}
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@comment{NO REF}
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@UNPUBLISHED{lubinunpub96,
  AUTHOR = {Lubin, Jonathan},
 TITLE   = {Seminar on $p$-adic time in nonarchimedean dynamical systems},
 NOTE    = {Seminar at {Brown} {University}},
 YEAR    = {prepared April 25, 1996}
}

@comment{UPDATE}
@misc {arxiv0610504,
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   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
     YEAR = {2007},
     NOTE = {To appear},
}
@comment{\url{ArXiv:math.NT/0610504}}

@comment{--MMM-- }

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@phdthesis{manesthesis, 
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@misc {arxiv0310434,
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    TITLE = {G\'eom\'etrie, points