paper

Irrational Fatou components in non-Archimedean dynamics

arXiv:2505.09383

Abstract

This paper studies the geometry of Fatou components in non-Archimedean dynamics. By explicitly computing a wandering domain constructed by Benedetto, it provides the first example of a Fatou component that is an irrational disk.

This version improves the exposition. Comments are welcomed

Irrational Fatou components in non-Archimedean dynamics · wovepaper