Wandering domains in non-archimedean polynomial dynamics

2003/12/01 by Benedetto, Robert L. · 1 citation
#12J25 (Primary) #37F99 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0312029

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].

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• Irrational Fatou components in non-Archimedean dynamics

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