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https://hdl.handle.net/2445/219496| Title: | Wandering domains with nearly bounded orbits |
| Author: | Leticia Pardo-Simón David J. Sixsmith |
| Keywords: | Sistemes dinàmics complexos Funcions de variables complexes Complex dynamical systems Functions of complex variables |
| Issue Date: | 9-Aug-2024 |
| Publisher: | American Mathematical Society (AMS) |
| 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. |
| Note: | Versió postprint del document publicat a: https://doi.org/https://doi.org/10.1090/proc/16846 |
| It is part of: | Proceedings of the American Mathematical Society, 2024, vol. 152, p. 4311-4323 |
| URI: | https://hdl.handle.net/2445/219496 |
| Related resource: | https://doi.org/https://doi.org/10.1090/proc/16846 |
| ISSN: | 0002-9939 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| 886196.pdf | 447.24 kB | Adobe PDF | View/Open |
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