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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Cantor bouquets in spiders’ webs
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by Yannis Dourekas PDF
Conform. Geom. Dyn. 24 (2020), 1-28 Request permission

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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Additional 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