Leticia Pardo-SimónDavid J. Sixsmith2025-03-062025-03-062024-08-090002-9939https://hdl.handle.net/2445/219496A 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.13 p.application/pdfengcc-by-nc-nd (c) American Mathematical Society (AMS), 2024http://creativecommons.org/licenses/by-nc-nd/4.0/Sistemes dinàmics complexosFuncions de variables complexesComplex dynamical systemsFunctions of complex variablesinfo:eu-repo/semantics/article7564232025-03-06info:eu-repo/semantics/openAccess