Wandering domains in non-archimedean polynomial dynamics
Number Theory
2007-05-23 v2 Dynamical Systems
Abstract
We extend a recent result on the existence of wandering domains of polynomial functions defined over the p-adic field C_p to any algebraically closed complete non-archimedean field C_K with residue characteristic p>0. We also prove that polynomials with wandering domains form a dense subset of a certain one-dimensional family of degree p+1 polynomials in C_K[z].
Cite
@article{arxiv.math/0312029,
title = {Wandering domains in non-archimedean polynomial dynamics},
author = {Robert L. Benedetto},
journal= {arXiv preprint arXiv:math/0312029},
year = {2007}
}
Comments
minor changes, incorporating referee comments. Also added Figure 1 to clarify Lemma 3.1