Irrational Fatou components in non-Archimedean dynamics

Fuente: arXiv
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Main Author: Rivera-Letelier, Juan
Format: Preprint
Published: 2025
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author Rivera-Letelier, Juan
author_facet Rivera-Letelier, Juan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09383
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Irrational Fatou components in non-Archimedean dynamics
Rivera-Letelier, Juan
Dynamical Systems
Number Theory
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.
title Irrational Fatou components in non-Archimedean dynamics
topic Dynamical Systems
Number Theory
url https://arxiv.org/abs/2505.09383