Rational maps with Fatou components of arbitrarily large connectivity

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comunitat-uji-handle:10234/9

comunitat-uji-handle2:10234/7037

comunitat-uji-handle3:10234/8635

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Title
Rational maps with Fatou components of arbitrarily large connectivity
Author (s)
 Canela, Jordi
Date
2018-02-02
Publisher
Elsevier; Academic Press
URI
http://hdl.handle.net/10234/190733
DOI
https://doi.org/10.1016/j.jmaa.2018.01.061
ISSN
0022-247X
Bibliographic citation
CANELA, Jordi. Rational maps with Fatou components of arbitrarily large connectivity. Journal of Mathematical Analysis and Applications, 2018, vol. 462, no 1, p. 36-56.
Type
info:eu-repo/semantics/article
Publisher version
https://www.sciencedirect.com/journal/journal-of-mathematical-analysis-and-appli ...
Version
info:eu-repo/semantics/acceptedVersion
Subject
Abstract
We study the family of singular perturbations of Blaschke products . We analyse how the connectivity of the Fatou components varies as we move continuously the parameter λ. We prove that all possible escaping config ... [+]
We study the family of singular perturbations of Blaschke products . We analyse how the connectivity of the Fatou components varies as we move continuously the parameter λ. We prove that all possible escaping configurations of the critical point take place within the parameter space. In particular, we prove that there are maps which have Fatou components of arbitrarily large finite connectivity within their dynamical planes. [-]
Is part of
Journal of Mathematical Analysis and Applications Volume 462, Issue 1, 1 June 2018, Pages 36-56
Investigation project
LAMBDA/ANR-13-BS01-0002
Rights
© 2018 Elsevier Inc. All rights reserved.
info:eu-repo/semantics/openAccess
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© 2018 Elsevier Inc. All rights reserved.
Except where otherwise noted, this item's license is described as © 2018 Elsevier Inc. All rights reserved.