Publication
Anosov Diffeomorphisms and γ -Tilings
| dc.contributor.author | Almeida, João P. | |
| dc.contributor.author | Pinto, Alberto A. | |
| dc.date.accessioned | 2018-01-31T10:00:00Z | |
| dc.date.accessioned | 2018-02-01T09:37:56Z | |
| dc.date.available | 2018-01-31T10:00:00Z | |
| dc.date.available | 2018-02-01T09:37:56Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We consider a toral Anosov automorphism G γ : T γ → T γ given by G γ (x, y) = (ax+ y, x) in the < v, w > base, where a∈ N\ { 1 } , γ= 1 / (a+ 1 / (a+ 1 / …)) , v= (γ, 1) and w= (- 1 , γ) in the canonical base of R 2 and T γ = R 2 / (vZ× wZ). We introduce the notion of γ-tilings to prove the existence of a one-to-one correspondence between (i) marked smooth conjugacy classes of Anosov diffeomorphisms, with invariant measures absolutely continuous with respect to the Lebesgue measure, that are in the isotopy class of G γ ; (ii) affine classes of γ-tilings; and (iii) γ-solenoid functions. Solenoid functions provide a parametrization of the infinite dimensional space of the mathematical objects described in these equivalences. | en_EN |
| dc.description.version | info:eu-repo/semantics/publishedVersion | en_EN |
| dc.identifier.citation | Almeida, João P.; Pinto, Alberto A. (2016). Anosov Diffeomorphisms and γ -Tilings. Communications in Mathematical Physics. ISSN 0010-3616. 345, p. 435-456 | en_EN |
| dc.identifier.doi | 10.1007/s00220-016-2677-9 | en_EN |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.uri | http://hdl.handle.net/10198/15395 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | en_EN |
| dc.title | Anosov Diffeomorphisms and γ -Tilings | en_EN |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| 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 | en_EN |
| rcaap.type | article | en_EN |
| relation.isAuthorOfPublication | d51506e1-376c-4c70-b68b-f527b54440d2 | |
| relation.isAuthorOfPublication.latestForDiscovery | d51506e1-376c-4c70-b68b-f527b54440d2 |