Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/93366
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dc.creatorF. Ferreira
dc.creatorA. A. Pinto
dc.date.accessioned2019-03-16T00:09:26Z-
dc.date.available2019-03-16T00:09:26Z-
dc.date.issued2001
dc.identifier.issn1468-9367
dc.identifier.othersigarra:49170
dc.identifier.urihttps://hdl.handle.net/10216/93366-
dc.descriptionFor uniformly asymptotically affine (uaa) Markov maps on train tracks, we prove the following type of rigidity result: if a topological conjugacy between them is (uaa) at a point in the train track then the conjugacy is (uaa) everywhere. In particular, our methods apply to the case in which the domains of the Markov maps are Cantor sets. We also present similar statements for (uaa) and C^r Markov families. These results generalize the similar ones of Sullivan and de Faria for C^r expanding circle maps with r > 1 and have useful applications to hyperbolic dynamics on surfaces and laminations.
dc.description.abstractFor uniformly asymptotically affine (uaa) Markov maps on train tracks, we prove the following type of rigidity result: if a topological conjugacy between them is (uaa) at a point in the train track then the conjugacy is (uaa) everywhere. In particular, our methods apply to the case in which the domains of the Markov maps are Canter sets. We also present similar statements for (uaa:) and C-r Markov families. These results generalize the similar ones of Sullivan and de Faria for C-r expanding circle maps with r > 1 and have useful applications to hyperbolic dynamics on surfaces and laminations.
dc.language.isoeng
dc.rightsrestrictedAccess
dc.subjectMatemática
dc.subjectMathematics
dc.titleExplosion of smoothness from a point to everywhere for conjugacies between Markov families
dc.typeArtigo em Revista Científica Internacional
dc.contributor.uportoFaculdade de Ciências
dc.identifier.doi10.1080/02681110110038756
dc.identifier.authenticusP-000-VA1
dc.subject.fosCiências exactas e naturais::Matemática
dc.subject.fosNatural sciences::Mathematics
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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