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Billiards in generic convex bodies have positive topological entropy

2024Journal article Open access
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dc.contributor.authorBessa, Mário
dc.contributor.authorDel Magno, Gianluigi
dc.contributor.authorDias, João Lopes
dc.contributor.authorGaivão, José Pedro
dc.contributor.authorTorres, Maria Joana
dc.date.accessioned2024-11-08T09:53:19Z
dc.date.available2024-11-08T09:53:19Z
dc.date.issued2024
dc.description.abstractWe 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.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.aim.2024.109592pt_PT
dc.identifier.issn0001-8708
dc.identifier.urihttp://hdl.handle.net/10400.2/16743
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationMeans and Extremes in Dynamical Systems
dc.relationCentre of Mathematics of the University of Porto
dc.relationCEMAPRE - Centre for Applied Mathematics and Economics
dc.relationCenter of Mathematics of the University of Minho
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0001870824001075pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/pt_PT
dc.subjectMultidimensional billiardspt_PT
dc.subjectTopological entropypt_PT
dc.titleBilliards in generic convex bodies have positive topological entropypt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleMeans and Extremes in Dynamical Systems
oaire.awardTitleCentre of Mathematics of the University of Porto
oaire.awardTitleCEMAPRE - Centre for Applied Mathematics and Economics
oaire.awardTitleCenter of Mathematics of the University of Minho
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oaire.citation.startPage109592pt_PT
oaire.citation.titleAdvances in Mathematicspt_PT
oaire.citation.volume442pt_PT
oaire.fundingStream3599-PPCDT
oaire.fundingStreamConcurso de Projetos IC&DT em Todos os Domínios Científicos
oaire.fundingStream6817 - DCRRNI ID
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oaire.fundingStream6817 - DCRRNI ID
person.familyNameBessa
person.familyNameDel Magno
person.familyNameLopes Dias
person.familyNameGaivão
person.familyNameda Costa Cruz de Oliveira Torres
person.givenNameMário
person.givenNameGianluigi
person.givenNameJoão
person.givenNameJosé Pedro
person.givenNameMaria Joana
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-idA81E-101E-2EE8
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person.identifier.ciencia-id4612-CB41-300A
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0002-4139-9172
person.identifier.orcid0000-0002-2089-7308
person.identifier.orcid0000-0001-6368-1729
person.identifier.orcid0000-0002-3673-5776
project.funder.identifierhttp://doi.org/10.13039/501100001871
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