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Accepted version

Publication date

2024-08-09

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cc-by-nc-nd (c) American Mathematical Society (AMS), 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/219496

Wandering domains with nearly bounded orbits

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https://doi.org/https://doi.org/10.1090/proc/16846

Abstract

A major open question in transcendental dynamics asks if it is possible for points in a wandering domain to have bounded orbits, and more strongly, for a wandering domain to iterate only in a bounded domain. In this paper we give a partial answer to this question, by constructing a bounded wandering domain that spends, in a precise sense, nearly all of its time iterating in a bounded domain. This is in strong contrast to all previously known examples of wandering domains.

Subject

Sistemes dinàmics complexos, Funcions de variables complexes

Subject (English)

Complex dynamical systems, Functions of complex variables

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Leticia Pardo-Simón and David J. Sixsmith. Wandering domains with nearly bounded orbits. Proceedings of the American Mathematical Society. 2024. Vol. 152, num. 4311-4323. ISSN 0002-9939. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/219496

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