Uniform perfectness of the Berkovich Julia sets in non-archimedean dynamics

DOI10.1017/S0305004121000669zbMath1506.37122arXiv2011.00314OpenAlexW3095752321WikidataQ122224614 ScholiaQ122224614MaRDI QIDQ5043352

Yûsuke Okuyama

Publication date: 21 October 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.00314

zbMATH Keywords

Fatou componentnon-Archimedean dynamicsBerkovich component

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems on Berkovich spaces (37P50)

Cites Work

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• Julia Sets are Uniformly Perfect
• Julia sets of rational functions are uniformly perfect
• Wiener's type regularity criteria on the complex plane
• Dynamics in One Non-Archimedean Variable
• Dynamics on Berkovich Spaces in Low Dimensions

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