## 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.## References

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## Bibliographic Information

**Yannis Dourekas**- Affiliation: School of Mathematics and Statistics, Open University, Milton Keynes MK7 6AA, United Kingdom
- Email: ioandour@gmail.com
- Received by editor(s): September 20, 2019
- Published electronically: January 7, 2020
- © Copyright 2020 American Mathematical Society
- Journal: Conform. Geom. Dyn.
**24**(2020), 1-28 - MSC (2010): Primary 37F10
- DOI: https://doi.org/10.1090/ecgd/346
- MathSciNet review: 4047936