Irrational Fatou components in non-Archimedean dynamics
Dynamical Systems
2026-01-28 v2 Number Theory
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.
Cite
@article{arxiv.2505.09383,
title = {Irrational Fatou components in non-Archimedean dynamics},
author = {Juan Rivera-Letelier},
journal= {arXiv preprint arXiv:2505.09383},
year = {2026}
}
Comments
This version improves the exposition. Comments are welcomed