Non-escaping points of Zorich maps
Dynamical Systems
2022-03-08 v2 Complex Variables
Abstract
We extend results about the dimension of the radial Julia set of certain exponential functions to quasiregular Zorich maps in higher dimensions. Our results improve on previous estimates of the dimension also in the special case of exponential functions.
Cite
@article{arxiv.1910.13096,
title = {Non-escaping points of Zorich maps},
author = {Walter Bergweiler and Jie Ding},
journal= {arXiv preprint arXiv:1910.13096},
year = {2022}
}
Comments
18 pages; slight improvement of lower bound in Theorem 1.1; some overall revision