Sur la structure des ensembles de Fatou p-adiques
Dynamical Systems
2007-05-23 v1
Abstract
A classification of the periodic components of the Fatou set of -adic rational maps. Each such periodic component is either an immediate attracting basin or an open affinoid, where the dynamics is quasi-periodic (the -adic analogues of Siegel discs and Herman rings.) The main tool is a fixed point theorem for connected subsets of Berkovich's projective line (or p-adic hyperbolic space).
Cite
@article{arxiv.math/0412180,
title = {Sur la structure des ensembles de Fatou p-adiques},
author = {Juan Rivera-Letelier},
journal= {arXiv preprint arXiv:math/0412180},
year = {2007}
}
Comments
A preprint of January 2002