Publication
Trivial and simple spectrum for SL(d, ℝ) cocycles with free base and fiber dynamics
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Varandas, Paulo | |
| dc.date.accessioned | 2023-05-30T10:31:26Z | |
| dc.date.available | 2023-05-30T10:31:26Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Let AC_D(M,SL(d,R)) denote the pairs (f,A) so that f ∈ A ⊂ Diff (M) is a C^1-Anosov transitive diffeomorphisms and A is an SL(d,R) cocycle dominated with respect to f. We prove that open and densely in AC_D(M,SL(d,R)), in appropriate topologies, the pair (f,A) has simple spectrum with respect to the unique maximal entropy measure μ_f. Then, we prove prevalence of trivial spectrum near the dynamical cocycle of an area-preserving map and also for generic cocycles in Aut_Leb(M) × Lp(M,SL(d,R)). | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Bessa, M., Varandas, P. Trivial and simple spectrum for SL(d, ℝ) cocycles with free base and fiber dynamics. Acta. Math. Sin.-English Ser. 31, 1113–1122 (2015) | pt_PT |
| dc.identifier.doi | 10.1007/s10114-015-4417-z | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13898 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation | Strategic Project - UI 212 - 2011-2012 | |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s10114-015-4417-z | pt_PT |
| dc.subject | Linear cocycles | pt_PT |
| dc.subject | Lyapunov exponents | pt_PT |
| dc.subject | Anosov diffeomorphisms | pt_PT |
| dc.subject | Topological conjugacy | pt_PT |
| dc.subject | Maximal entropy measures | pt_PT |
| dc.title | Trivial and simple spectrum for SL(d, ℝ) cocycles with free base and fiber dynamics | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Strategic Project - UI 212 - 2011-2012 | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT | |
| oaire.citation.endPage | 1122 | pt_PT |
| oaire.citation.issue | 7 | pt_PT |
| oaire.citation.startPage | 1113 | pt_PT |
| oaire.citation.title | Acta Mathematica Sinica, English Series | pt_PT |
| oaire.citation.volume | 31 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Bessa | |
| person.familyName | Rodrigues Pinto Varandas | |
| person.givenName | Mário | |
| person.givenName | Paulo César | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.ciencia-id | 0C1A-DC54-F959 | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0002-0902-8718 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 2dd300f3-9f00-49de-9333-78ec0511220e | |
| relation.isAuthorOfPublication | 0a313695-4c65-4365-97f5-29724b83019d | |
| relation.isAuthorOfPublication.latestForDiscovery | 2dd300f3-9f00-49de-9333-78ec0511220e | |
| relation.isProjectOfPublication | 1e36eb38-7705-4d8c-ab90-7a3f7c5db571 | |
| relation.isProjectOfPublication.latestForDiscovery | 1e36eb38-7705-4d8c-ab90-7a3f7c5db571 |