Publication
Anosov diffeomorphisms and tilings
| dc.contributor.author | Almeida, João P. | |
| dc.date.accessioned | 2018-04-30T09:47:00Z | |
| dc.date.available | 2018-04-30T09:47:00Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We consider a toral Anosov automorphism G : T → T given by G(x, y) = (ax + y; x), where a > 1 is a fixed integer, and introduce the notion of γ-tiling to prove the existence of a one-to-one correspondence between (i) smooth conjugacy classes of Anosov diffeomorphisms with invariant measure absolutely continuous with respect to the Lebesgue measure and topologically conjugate to G, (ii) affine classes of - tilings and (iii) solenoid functions. Solenoid functions provide a parametrization of the infinite dimensional space of the mathematical objects described in these equivalences. This talk is based on a joint work with Alberto Pinto | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Almeida, João P. (2015). Anosov diffeomorphisms and tilings. In International Workshop Progress on Difference Equations. Universidade da Beira Interior, Covilhã | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10198/17426 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Dynamical systems | pt_PT |
| dc.subject | Anosov diffeomorphisms | pt_PT |
| dc.subject | Tilings | pt_PT |
| dc.title | Anosov diffeomorphisms and tilings | pt_PT |
| dc.type | conference object | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Universidade da Beira Interior, Covilhã | pt_PT |
| oaire.citation.title | International Workshop Progress on Difference Equations | pt_PT |
| person.familyName | Almeida | |
| person.givenName | João P. | |
| person.identifier | R-000-K6T | |
| person.identifier.ciencia-id | 1C14-D6B1-6A78 | |
| person.identifier.orcid | 0000-0002-1286-2527 | |
| person.identifier.rid | N-8243-2013 | |
| person.identifier.scopus-author-id | 54956738400 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | conferenceObject | pt_PT |
| relation.isAuthorOfPublication | d51506e1-376c-4c70-b68b-f527b54440d2 | |
| relation.isAuthorOfPublication.latestForDiscovery | d51506e1-376c-4c70-b68b-f527b54440d2 |