Publication
Billiards in generic convex bodies have positive topological entropy
dc.contributor.author | Bessa, Mário | |
dc.contributor.author | Del Magno, Gianluigi | |
dc.contributor.author | Dias, João Lopes | |
dc.contributor.author | Gaivão, José Pedro | |
dc.contributor.author | Torres, Maria Joana | |
dc.date.accessioned | 2024-11-08T09:53:19Z | |
dc.date.available | 2024-11-08T09:53:19Z | |
dc.date.issued | 2024 | |
dc.description.abstract | We show that there exists a C2-open dense set of convex bodies with smooth boundary whose billiard map exhibits a non-trivial hyperbolic basic set. As a consequence billiards in generic convex bodies have positive topological entropy and exponential growth of the number of periodic orbits. | pt_PT |
dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
dc.identifier.doi | 10.1016/j.aim.2024.109592 | pt_PT |
dc.identifier.issn | 0001-8708 | |
dc.identifier.uri | http://hdl.handle.net/10400.2/16743 | |
dc.language.iso | eng | pt_PT |
dc.peerreviewed | yes | pt_PT |
dc.publisher | Elsevier | pt_PT |
dc.relation | Means and Extremes in Dynamical Systems | |
dc.relation | Centre of Mathematics of the University of Porto | |
dc.relation | CEMAPRE - Centre for Applied Mathematics and Economics | |
dc.relation | Center of Mathematics of the University of Minho | |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0001870824001075 | pt_PT |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | pt_PT |
dc.subject | Multidimensional billiards | pt_PT |
dc.subject | Topological entropy | pt_PT |
dc.title | Billiards in generic convex bodies have positive topological entropy | pt_PT |
dc.type | journal article | |
dspace.entity.type | Publication | |
oaire.awardTitle | Means and Extremes in Dynamical Systems | |
oaire.awardTitle | Centre of Mathematics of the University of Porto | |
oaire.awardTitle | CEMAPRE - Centre for Applied Mathematics and Economics | |
oaire.awardTitle | Center of Mathematics of the University of Minho | |
oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F29126%2F2017/PT | |
oaire.awardURI | info:eu-repo/grantAgreement/FCT/Concurso de Projetos IC&DT em Todos os Domínios Científicos/PTDC%2FMAT-PUR%2F4048%2F2021/PT | |
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oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F00491%2F2019/PT | |
oaire.awardURI | info:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00013%2F2020/PT | |
oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PT | |
oaire.citation.startPage | 109592 | pt_PT |
oaire.citation.title | Advances in Mathematics | pt_PT |
oaire.citation.volume | 442 | pt_PT |
oaire.fundingStream | 3599-PPCDT | |
oaire.fundingStream | Concurso de Projetos IC&DT em Todos os Domínios Científicos | |
oaire.fundingStream | 6817 - DCRRNI ID | |
oaire.fundingStream | 6817 - DCRRNI ID | |
oaire.fundingStream | Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base | |
oaire.fundingStream | 6817 - DCRRNI ID | |
person.familyName | Bessa | |
person.familyName | Del Magno | |
person.familyName | Lopes Dias | |
person.familyName | Gaivão | |
person.familyName | da Costa Cruz de Oliveira Torres | |
person.givenName | Mário | |
person.givenName | Gianluigi | |
person.givenName | João | |
person.givenName | José Pedro | |
person.givenName | Maria Joana | |
person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
person.identifier.ciencia-id | C21A-EEC0-A3EF | |
person.identifier.ciencia-id | A81E-101E-2EE8 | |
person.identifier.ciencia-id | A01A-369C-B7B3 | |
person.identifier.ciencia-id | 6C12-F5B3-4E0F | |
person.identifier.ciencia-id | 4612-CB41-300A | |
person.identifier.orcid | 0000-0002-1758-2225 | |
person.identifier.orcid | 0000-0002-4139-9172 | |
person.identifier.orcid | 0000-0002-2089-7308 | |
person.identifier.orcid | 0000-0001-6368-1729 | |
person.identifier.orcid | 0000-0002-3673-5776 | |
project.funder.identifier | http://doi.org/10.13039/501100001871 | |
project.funder.identifier | http://doi.org/10.13039/501100001871 | |
project.funder.identifier | http://doi.org/10.13039/501100001871 | |
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project.funder.identifier | http://doi.org/10.13039/501100001871 | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
project.funder.name | Fundação para a Ciência e a Tecnologia | |
rcaap.rights | openAccess | pt_PT |
rcaap.type | article | pt_PT |
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