Publication
Explosion of smoothness from a point to everywhere for conjugacies between Markov families
| dc.contributor.author | Ferreira, Flávio | |
| dc.contributor.author | Pinto, Alberto A. | |
| dc.date.accessioned | 2015-10-08T14:16:08Z | |
| dc.date.available | 2015-10-08T14:16:08Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | For 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. | pt_PT |
| dc.description.sponsorship | We are very grateful to Dennis Sullivan, David Rand, Edson de Faria and Stefano Luzzatto for very useful discussions on this work. We also thank the IHES, Instituto de Matemática Pura & Aplicada, City University of New York, Stony Brook, Royal Institute of Technology, and University of Warwick for their hospitality. We thank the Calouste Gulbenkian Foundation, PRODYN-ESF, Programa PRAXIS XXI do Ministério da Ciência e da Tecnologia and Centro de Matemática Aplicada da Universidade do Porto for their financial support. F. Ferreira also thanks PRODEP (by Universidade Moderna) for its financial support. | |
| dc.identifier.citation | F. Ferreira & A. A. Pinto (2001) Explosion of smoothness from a point to everywhere for conjugacies between Markov families, Dynamical Systems, 16:2, 193-212, DOI: 10.1080/14689360118141 | pt_PT |
| dc.identifier.doi | 10.1080/14689360118141 | |
| dc.identifier.issn | 1468-9367 | |
| dc.identifier.other | E-ISSN 1468-9375 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/6655 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Taylor & Francis | pt_PT |
| dc.relation.publisherversion | http://www.tandfonline.com/doi/abs/10.1080/14689360118141 | pt_PT |
| dc.title | Explosion of smoothness from a point to everywhere for conjugacies between Markov families | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 212 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 193 | pt_PT |
| oaire.citation.title | Dynamical Systems: An International Journal | pt_PT |
| oaire.citation.volume | 16 | pt_PT |
| person.familyName | Ferreira | |
| person.givenName | Flávio | |
| person.identifier.ciencia-id | 9F13-D3C6-244B | |
| person.identifier.orcid | 0000-0001-7812-0983 | |
| person.identifier.rid | N-4562-2013 | |
| person.identifier.scopus-author-id | 22978799800 | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 6f67981a-3965-4ace-aec9-65938c4bcf66 | |
| relation.isAuthorOfPublication.latestForDiscovery | 6f67981a-3965-4ace-aec9-65938c4bcf66 |