Wandering domains with nearly bounded orbits

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dc.contributor.authorLeticia Pardo-Simón
dc.contributor.authorDavid J. Sixsmith
dc.date.accessioned2025-03-06T07:49:13Z
dc.date.available2025-03-06T07:49:13Z
dc.date.issued2024-08-09
dc.date.updated2025-03-06T07:49:13Z
dc.description.abstractA 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.
dc.format.extent13 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec756423
dc.identifier.issn0002-9939
dc.identifier.urihttps://hdl.handle.net/2445/219496
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/https://doi.org/10.1090/proc/16846
dc.relation.ispartofProceedings of the American Mathematical Society, 2024, vol. 152, p. 4311-4323
dc.relation.urihttps://doi.org/https://doi.org/10.1090/proc/16846
dc.rightscc-by-nc-nd (c) American Mathematical Society (AMS), 2024
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationSistemes dinàmics complexos
dc.subject.classificationFuncions de variables complexes
dc.subject.otherComplex dynamical systems
dc.subject.otherFunctions of complex variables
dc.titleWandering domains with nearly bounded orbits
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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