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Wandering domains in non-archimedean polynomial dynamics

Robert L. Benedetto
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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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Robert L. Benedetto. 2006-02-15. Wandering domains in non-archimedean polynomial dynamics. https://arxiv.org/abs/math/0312029

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