From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
This paper surveys the impact of Eremenko and Lyubich’s paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhib...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/227854 |
| Acceso en línea: | https://hdl.handle.net/2445/227854 |
| Access Level: | acceso abierto |
| Palabra clave: | Funcions holomorfes Sistemes dinàmics complexos Holomorphic functions Complex dynamical systems |
| Sumario: | This paper surveys the impact of Eremenko and Lyubich’s paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in holomorphic dynamics. Their work laid foundational techniques and posed questions that have since guided a good part of the development of transcendental dynamics. |
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