Hyperbolic polygonal billiards with finitely many ergodic SRB measures

Detalhes bibliográficos
Autor(a) principal: Del Magno, Gianluigi
Data de Publicação: 2018
Outros Autores: Dias, João Lopes, Duarte, Pedro, Gaivão, Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.5/28898
Resumo: We study polygonal billiards with reflection laws contracting the angle of reflection towards the normal. It is shown that if a polygon does not have parallel sides facing each other, then the corresponding billiard map has finitely many ergodic Sinai - Ruelle - Bowen measures whose basins cover a set of full Lebesgue measure.
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spelling Hyperbolic polygonal billiards with finitely many ergodic SRB measuresPolygonal BilliardsErgodic Sinai - Ruelle - Bowen MeasuresLebesgue MeasureWe study polygonal billiards with reflection laws contracting the angle of reflection towards the normal. It is shown that if a polygon does not have parallel sides facing each other, then the corresponding billiard map has finitely many ergodic Sinai - Ruelle - Bowen measures whose basins cover a set of full Lebesgue measure.Cambridge University PressRepositório da Universidade de LisboaDel Magno, GianluigiDias, João LopesDuarte, PedroGaivão, Pedro2023-10-06T10:09:46Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/28898engDel Magno, Gianluigi … [et al.] .(2018). “Hyperbolic polygonal billiards with finitely many ergodic SRB measures”. Ergodic Theory and Dynamical Systems, Vol. 38: pp. 2062-2085. (Search PDF in 2023)doi:10.1017/etds.2016.1191469 - 4417info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-10-08T01:32:19Zoai:www.repository.utl.pt:10400.5/28898Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:33:56.974573Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Hyperbolic polygonal billiards with finitely many ergodic SRB measures
title Hyperbolic polygonal billiards with finitely many ergodic SRB measures
spellingShingle Hyperbolic polygonal billiards with finitely many ergodic SRB measures
Del Magno, Gianluigi
Polygonal Billiards
Ergodic Sinai - Ruelle - Bowen Measures
Lebesgue Measure
title_short Hyperbolic polygonal billiards with finitely many ergodic SRB measures
title_full Hyperbolic polygonal billiards with finitely many ergodic SRB measures
title_fullStr Hyperbolic polygonal billiards with finitely many ergodic SRB measures
title_full_unstemmed Hyperbolic polygonal billiards with finitely many ergodic SRB measures
title_sort Hyperbolic polygonal billiards with finitely many ergodic SRB measures
author Del Magno, Gianluigi
author_facet Del Magno, Gianluigi
Dias, João Lopes
Duarte, Pedro
Gaivão, Pedro
author_role author
author2 Dias, João Lopes
Duarte, Pedro
Gaivão, Pedro
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Del Magno, Gianluigi
Dias, João Lopes
Duarte, Pedro
Gaivão, Pedro
dc.subject.por.fl_str_mv Polygonal Billiards
Ergodic Sinai - Ruelle - Bowen Measures
Lebesgue Measure
topic Polygonal Billiards
Ergodic Sinai - Ruelle - Bowen Measures
Lebesgue Measure
description We study polygonal billiards with reflection laws contracting the angle of reflection towards the normal. It is shown that if a polygon does not have parallel sides facing each other, then the corresponding billiard map has finitely many ergodic Sinai - Ruelle - Bowen measures whose basins cover a set of full Lebesgue measure.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
2023-10-06T10:09:46Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.5/28898
url http://hdl.handle.net/10400.5/28898
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Del Magno, Gianluigi … [et al.] .(2018). “Hyperbolic polygonal billiards with finitely many ergodic SRB measures”. Ergodic Theory and Dynamical Systems, Vol. 38: pp. 2062-2085. (Search PDF in 2023)
doi:10.1017/etds.2016.119
1469 - 4417
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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