PreprintCC BY 4.0arXiv
Quasiconformal folding - a review of `Models for the Eremenko-Lyubich class'
Abstract
We review the paper `Models for the Eremenko--Lyubich class' by Chris Bishop, which appeared in the Journal of the London Mathematical Society in 2015, the first of two LMS papers for which Bishop received the LMS Senior Berwick Prize in 2024. This is one of a series of papers where Bishop introduced his new technique of quasiconformal folding, which transformed the range of approaches to constructing examples of transcendental entire functions leading to the resolution of many open problems, in particular in transcendental dynamics.
Related
- The inverse problem for Julia limiting directions in the Eremenko--Lyubich class
- A counterexample to Eremenko's conjecture
- Eremenko's conjecture on higher-order Briot--Bouquet equations
- Quasiconformal distortion of the lower dimension and applications
- Holomorphic motions, Assouad dimension and quasiconformal mappings
BibTeX
@misc{rippon2026quasiconformal,
title = {{Quasiconformal folding - a review of `Models for the Eremenko-Lyubich class'}},
author = {Philip J. Rippon},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02806},
eprint = {2609.02806},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02806},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quasiconformal folding - a review of `Models for the Eremenko-Lyubich class'
AU - Philip J. Rippon
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02806
UR - https://arxiv.org/abs/2609.02806
AB - We review the paper `Models for the Eremenko--Lyubich class' by Chris Bishop, which appeared in the Journal of the London Mathematical Society in 2015, the first of two LMS papers for which Bishop received the LMS Senior Berwick Prize in 2024. This is one of a series of papers where Bishop introduced his new technique of quasiconformal folding, which transformed the range of approaches to constructing examples of transcendental entire functions leading to the resolution of many open problems, in particular in transcendental dynamics.
ER -