Publication
Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics
| dc.contributor.author | Pinto, Alberto A. | |
| dc.contributor.author | Rand, David A. | |
| dc.contributor.author | Ferreira, Flávio | |
| dc.date.accessioned | 2015-10-08T13:24:11Z | |
| dc.date.available | 2015-10-08T13:24:11Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | We prove that the stable holonomies of a proper codimension 1 attractor Λ, for a Cr diffeomorphism f of a surface, are not C1+θ for θ greater than the Hausdorff dimension of the stable leaves of f intersected with Λ. To prove this result we show that there are no diffeomorphisms of surfaces, with a proper codimension 1 attractor, that are affine on a neighbourhood of the attractor and have affine stable holonomies on the attractor. | pt_PT |
| dc.identifier | 10.1016/j.jde.2007.02.013 | |
| dc.identifier.citation | Pinto, A. A., Rand, D. A., & Ferreira, E. (2007). Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics. Journal of Differential Equations, 243(2), 168–178. DOI: 10.1016/j.jde.2007.02.013 | pt_PT |
| dc.identifier.doi | 10.1016/j.jde.2007.02.013 | |
| dc.identifier.doi | 0022-0396 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/6654 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Academic Press Inc. Elsevier Science | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
| dc.title | Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 178 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 168 | 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 |