Rational maps with Fatou components of arbitrarily large connectivity
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Title
Rational maps with Fatou components of arbitrarily large connectivityAuthor (s)
Date
2018-02-02Publisher
Elsevier; Academic PressISSN
0022-247XBibliographic 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/articlePublisher version
https://www.sciencedirect.com/journal/journal-of-mathematical-analysis-and-appli ...Version
info:eu-repo/semantics/acceptedVersionSubject
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. [-]
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Journal of Mathematical Analysis and Applications Volume 462, Issue 1, 1 June 2018, Pages 36-56Investigation project
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© 2018 Elsevier Inc. All rights reserved.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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