Rational maps with Fatou components of arbitrarily large connectivity
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Título
Rational maps with Fatou components of arbitrarily large connectivityAutoría
Fecha de publicación
2018-02-02Editor
Elsevier; Academic PressISSN
0022-247XCita bibliográfica
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.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/journal/journal-of-mathematical-analysis-and-appli ...Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
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. [-]
Publicado en
Journal of Mathematical Analysis and Applications Volume 462, Issue 1, 1 June 2018, Pages 36-56Proyecto de investigación
LAMBDA/ANR-13-BS01-0002Derechos de acceso
© 2018 Elsevier Inc. All rights reserved.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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