The Escaping Set in Transcendental Dynamics
Abstract The escaping set of an entire function consists of the points in the complex plane that tend to infinity under iteration. This set plays a central role in the dynamics of transcendental entire functions. The goal of this survey is to explain this role, to summarise some of the main results in the area, and to identify a number of open questions.
Authors
- Lasse Rempe (ORCID: https://orcid.org/0000-0001-8032-8580)
- Walter Bergweiler (ORCID: https://orcid.org/0000-0001-5345-1831)
Publication Details
- Journal
- Jahresbericht der Deutschen Mathematiker-Vereinigung
- Published
- 2025-12-01
- DOI
- https://doi.org/10.1365/s13291-025-00300-1
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00