Cantor bouquets in spiders’ webs

Author:

Dourekas Yannis

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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

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