From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions

dc.contributor.author
Fagella Rabionet, Núria
dc.contributor.author
Pardo-Simón, Leticia
dc.date.issued
2026-03-04T13:22:26Z
dc.date.issued
2026-03-04T13:22:26Z
dc.date.issued
2026-01-01
dc.date.issued
2026-03-04T13:22:27Z
dc.identifier
0024-6107
dc.identifier
https://hdl.handle.net/2445/227854
dc.identifier
768160
dc.description.abstract
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.
dc.format
16 p.
dc.format
application/pdf
dc.language
eng
dc.publisher
London Mathematical Society
dc.relation
Reproducció del document publicat a: https://doi.org/10.1112/jlms.70382
dc.relation
Journal of the London Mathematical Society-Second Series, 2026, vol. 113, num.1
dc.relation
https://doi.org/10.1112/jlms.70382
dc.rights
cc by-nc-nd (c) Núria Fagella Rabionet et al, 2026
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.subject
Funcions holomorfes
dc.subject
Sistemes dinàmics complexos
dc.subject
Holomorphic functions
dc.subject
Complex dynamical systems
dc.title
From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion


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