Publication
Cantor exchange systems and renormalization
| dc.contributor.author | Pinto, Alberto A. | |
| dc.contributor.author | Rand, David A. | |
| dc.contributor.author | Ferreira, Flávio | |
| dc.date.accessioned | 2015-10-08T14:24:07Z | |
| dc.date.available | 2015-10-08T14:24:07Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | We prove a one-to-one correspondence between (i) C1+ conjugacy classes of C1+H Cantor exchange systems that are C1+H fixed points of renormalization and (ii) C1+ conjugacy classes of C1+H diffeomorphisms f with a codimension 1 hyperbolic attractor Lambda that admit an invariant measure absolutely continuous with respect to the Hausdorff measure on Lambda. However, we prove that there is no C1+alpha Cantor exchange system, with bounded geometry, that is a C1+alpha fixed point of renormalization with regularity alpha greater than the Hausdorff dimension of its invariant Cantor set. | pt_PT |
| dc.identifier.citation | Pinto, A. A., Rand, D. A., & Feffeira, F. (2007). Cantor exchange systems and renormalization. Journal of Differential Equations, 243(2), 593–616. DOI: 10.1016/j.jde.2007.09.014 | pt_PT |
| dc.identifier.doi | 10.1016/j.jde.2007.09.014 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.other | E-ISSN 1090-2732 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/6656 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Academic Press Inc. Elsevier Science | pt_PT |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0022039607003014 | pt_PT |
| dc.title | Cantor exchange systems and renormalization | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 616 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 593 | pt_PT |
| oaire.citation.title | Journal of Differential Equations | pt_PT |
| oaire.citation.volume | 243 | 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 | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 6f67981a-3965-4ace-aec9-65938c4bcf66 | |
| relation.isAuthorOfPublication.latestForDiscovery | 6f67981a-3965-4ace-aec9-65938c4bcf66 |