From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
Abstract
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.
Fields of Study & Subjects
Meromorphic and Entire Functions
Mathematical Dynamics and Fractals
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Publisher
- Wiley
- Volume
- 113
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN