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http://hdl.handle.net/2445/164100
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DC Field | Value | Language |
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dc.contributor.author | Benini, Anna Miriam | - |
dc.contributor.author | Fagella Rabionet, Núria | - |
dc.date.accessioned | 2020-06-03T08:01:17Z | - |
dc.date.available | 2020-06-03T08:01:17Z | - |
dc.date.issued | 2018-09-01 | - |
dc.identifier.issn | 0305-0041 | - |
dc.identifier.uri | http://hdl.handle.net/2445/164100 | - |
dc.description.abstract | Let $f$ be an entire transcendental function of finite order and $\Delta$ be a forward invariant bounded Siegel disk for $f$ with rotation number in Herman's class . We show that if $f$ has two singular values with bounded orbit, then the boundary of $\Delta$ contains a critical point. We also give a criterion under which the critical point in question is recurrent. We actually prove a more general theorem with less restrictive hypotheses, from which these results follow. | - |
dc.format.extent | 17 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Cambridge University Press | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1017/S0305004117000469 | - |
dc.relation.ispartof | Mathematical Proceedings of the Cambridge Philosophical Society, 2018, vol. 165, num. 2, p. 249-265 | - |
dc.relation.uri | https://doi.org/10.1017/S0305004117000469 | - |
dc.rights | (c) Cambridge University Press, 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions meromorfes | - |
dc.subject.classification | Sistemes dinàmics complexos | - |
dc.subject.other | Meromorphic functions | - |
dc.subject.other | Complex dynamical systems | - |
dc.title | Singular values and bounded Siegel disks | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 672806 | - |
dc.date.updated | 2020-06-03T08:01:17Z | - |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP7/277691/EU//HEVO | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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672806.pdf | 222.61 kB | Adobe PDF | View/Open |
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