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Rational maps with Fatou components of arbitrarily large connectivity
dc.contributor.author | Canela, Jordi | |
dc.date.accessioned | 2020-12-04T12:31:58Z | |
dc.date.available | 2020-12-04T12:31:58Z | |
dc.date.issued | 2018-02-02 | |
dc.identifier.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. | ca_CA |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/10234/190733 | |
dc.description.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 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. | ca_CA |
dc.format.extent | 24 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.publisher | Academic Press | ca_CA |
dc.relation.isPartOf | Journal of Mathematical Analysis and Applications Volume 462, Issue 1, 1 June 2018, Pages 36-56 | ca_CA |
dc.rights | © 2018 Elsevier Inc. All rights reserved. | ca_CA |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | holomorphic dynamics | ca_CA |
dc.subject | Blaschke products | ca_CA |
dc.subject | McMullen-like Julia sets | ca_CA |
dc.subject | singular perturbations | ca_CA |
dc.subject | connectivity of Fatou components | ca_CA |
dc.title | Rational maps with Fatou components of arbitrarily large connectivity | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2018.01.061 | |
dc.relation.projectID | LAMBDA/ANR-13-BS01-0002 | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/journal/journal-of-mathematical-analysis-and-applications/vol/462/issue/1 | ca_CA |
dc.date.embargoEndDate | 2020-02-02 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
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