Publication
Lyapunov exponents and entropy for divergence-free Lipschitz vector fields
| dc.contributor.author | Bessa, Mário | |
| dc.date.accessioned | 2023-05-31T11:54:43Z | |
| dc.date.available | 2023-05-31T11:54:43Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | Let X^0,1( M ) be the subset of divergence-free Lipschitz vector fields defined on a closed Riemannian manifold M endowed with the Lipschitz topology ∥ · ∥_0,1 where ν is the volume measure. Let L be the subset of vector fields satisfying the L-property, a property that implies C^1-regularity ν-almost everywhere. We prove that there exists a residual subset R ⊂ L with respect to ∥·∥0,1 such that Pesin’s entropy formula holds, i.e. for any X ∈ R the metric entropy equals the integral, with respect to ν, of the sum of the positive Lyapunov exponents. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Bessa, M. Lyapunov exponents and entropy for divergence-free Lipschitz vector fields. European Journal of Mathematics 9, 20 (2023) | pt_PT |
| dc.identifier.doi | 10.1007/s40879-023-00611-6 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13927 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s40879-023-00611-6 | pt_PT |
| dc.subject | Volume-preserving flows | pt_PT |
| dc.subject | Lyapunov exponents | pt_PT |
| dc.subject | Metric entropy | pt_PT |
| dc.subject | Lipschitz vector fields | pt_PT |
| dc.title | Lyapunov exponents and entropy for divergence-free Lipschitz vector fields | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F29126%2F2017/PT | |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.title | European Journal of Mathematics | pt_PT |
| oaire.citation.volume | 9 | pt_PT |
| oaire.fundingStream | 3599-PPCDT | |
| person.familyName | Bessa | |
| person.givenName | Mário | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| 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 |
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