The Lipschitz Constant of a Nonarchimedean Rational Function
Dynamical Systems
2015-12-04 v1
Abstract
Let K be a complete, algebraically closed nonarchimedean valued field, and let f(z) be a non-constant rational function in K(z). We provide explicit bounds for the Lipschitz constant of f(z) acting on the Berkovich projective line, relative to the Favre/Rivera-Letelier d(x,y)-metric, and for the Lipschitz constant of f(z) acting on classical points in the projective line, relative to the spherical metric.
Cite
@article{arxiv.1512.01136,
title = {The Lipschitz Constant of a Nonarchimedean Rational Function},
author = {Robert Rumely and Stephen Winburn},
journal= {arXiv preprint arXiv:1512.01136},
year = {2015}
}