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

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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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Journal of the London Mathematical Society-Second Series, 2026, vol. 113, num.1

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cc by-nc-nd (c) Núria Fagella Rabionet et al, 2026

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Articles publicats en revistes (Matemàtiques i Informàtica)

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