Rational maps with Fatou components of arbitrarily large connectivity
Visualitza/
Metadades
Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
Rational maps with Fatou components of arbitrarily large connectivityAutoria
Data de publicació
2018-02-02Editor
Elsevier; Academic PressISSN
0022-247XCita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/journal/journal-of-mathematical-analysis-and-appli ...Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Journal of Mathematical Analysis and Applications Volume 462, Issue 1, 1 June 2018, Pages 36-56Proyecto de investigación
LAMBDA/ANR-13-BS01-0002Drets d'accés
© 2018 Elsevier Inc. All rights reserved.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Apareix a les col.leccions
- MAT_Articles [761]
Els següents fitxers sobre la llicència estan associats a aquest element: