Cantor Bouquets in Spiders' Webs
Dynamical Systems
2019-08-21 v1 Complex Variables
Abstract
For many transcendental entire functions, the escaping set has the structure of a Cantor bouquet, consisting of uncountably many disjoint curves. Rippon and Stallard showed that there are many functions for which the escaping set has a new connected structure known as an infinite spider's web. We investigate a connection between these two topological structures for a certain class of sums of exponentials.
Cite
@article{arxiv.1908.07260,
title = {Cantor Bouquets in Spiders' Webs},
author = {Yannis Dourekas},
journal= {arXiv preprint arXiv:1908.07260},
year = {2019}
}