Irrational Fatou components in non‐Archimedean dynamics

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.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2026-02-18
DOI
https://doi.org/10.1112/blms.70299
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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article

Irrational Fatou components in non‐Archimedean dynamics

Juan Rivera‐Letelier
Bulletin of the London Mathematical Society
Mathematical Dynamics and Fractals
article

Irrational Fatou components in non‐Archimedean dynamics

Juan Rivera‐Letelier
article en

Abstract

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.

Bulletin of the London Mathematical SocietyVol. 58(3)
Rochester Institute of Technology (US), University of Rochester (US)
Reduced inequalities
Openalex Percentile: Top 46%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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Irrational Fatou components in non‐Archimedean dynamics — Juan Rivera‐Letelier · Bulletin of the London Mathematical Society (2026) | TGRS Research Map | TGRS