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 documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2026 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/227854 |
| Acesso em linha: | https://hdl.handle.net/2445/227854 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Funcions holomorfes Sistemes dinàmics complexos Holomorphic functions Complex dynamical systems |
| Resumo: | 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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