Cantor bouquets in spiders’ webs

Dourekas, Yannis

doi:10.1090/ecgd/346

Cantor bouquets in spiders’ webs
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by Yannis Dourekas

Conform. Geom. Dyn. 24 (2020), 1-28

DOI: https://doi.org/10.1090/ecgd/346

Published electronically: January 7, 2020

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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.

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