Lipeomorphic equivalence for p-adic analytic functions: a comparison between complex and p-adic dynamics
Dynamical Systems
2010-11-11 v1 Number Theory
Abstract
Let K be a p-adic field, and suppose that f and g are germs of analytic functions on K which are tangent to the identity at 0. It is known that f and g are homeomorphically equivalent, meaning there is an invertible germ h conjugating f to g. In this paper, we determine whether there exists such h which are lipeomorphisms, and moreover find the best possible Holder estimate at 0. Our results have striking complex and real counterparts.
Keywords
Cite
@article{arxiv.1011.2451,
title = {Lipeomorphic equivalence for p-adic analytic functions: a comparison between complex and p-adic dynamics},
author = {Adrian Jenkins and Steven Spallone},
journal= {arXiv preprint arXiv:1011.2451},
year = {2010}
}