
This directory contains the Mathematica files which
does many of the computations for my paper
"A Conformal Averaging Process on the Circle".
I last modified the paper and these files

             Thu Dec 18 11:09:45 EST 2003

The files correspond to the current version of the paper.
Here is a guide to the files.


excess:      This file computes the Hessian of the
             conformal energy function, as in Chapter 6*)

gradient:    This file takes the gradient of the basic
             functions log E, log F, log G.

inequality:  This file lets the reader experiment with the
             main inequalities in the paper.

makepoly:    This file corresponds to Chapter 4.  The main
             routine constructs the huge polynomials used there
             and verifies the positive dominance condition.

mapping:     This file contains the code which helps derive the
             identity from Chapter 2 and the identity from Ch 7.
