2026-04-13T04:13:25Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/2194962025-12-05T09:58:09Zcom_2072_1057col_2072_478917col_2072_478920

Wandering domains with nearly bounded orbits Leticia Pardo-Simón David J. Sixsmith Sistemes dinàmics complexos Funcions de variables complexes Complex dynamical systems Functions of complex variables 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. 2025-03-06T07:49:13Z 2025-03-06T07:49:13Z 2024-08-09 2025-03-06T07:49:13Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0002-9939 https://hdl.handle.net/2445/219496 756423 eng Versió postprint del document publicat a: https://doi.org/https://doi.org/10.1090/proc/16846 Proceedings of the American Mathematical Society, 2024, vol. 152, p. 4311-4323 https://doi.org/https://doi.org/10.1090/proc/16846 cc-by-nc-nd (c) American Mathematical Society (AMS), 2024 http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess 13 p. application/pdf American Mathematical Society (AMS) Articles publicats en revistes (Matemàtiques i Informàtica)