SRB measures for polygonal billiards with contracting reflection laws

Bibliographic Details
Main Author: Del Magno, Gianluigi
Publication Date: 2014
Other Authors: Dias, João Lopes, Duarte, Pedro, Gaivão, José Pedro, Pinheiro, Diogo
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.5/28948
Summary: We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small perturbations of the reflection law, and the tables for which they exist form a generic set in the space of all convex polygons. Specific polygonal tables are studied in detail.
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spelling SRB measures for polygonal billiards with contracting reflection lawsPolygonal BilliardsContracting Reflection LawsSRB MeasuresWe prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small perturbations of the reflection law, and the tables for which they exist form a generic set in the space of all convex polygons. Specific polygonal tables are studied in detail.SpringerRepositório da Universidade de LisboaDel Magno, GianluigiDias, João LopesDuarte, PedroGaivão, José PedroPinheiro, Diogo2023-10-10T14:26:25Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/28948engDel Magno, Gianluigi … [et al.].(2014). “SRB measures for polygonal billiards with contracting reflection laws”. Communications in Mathematical Physics, Volume 329: pp. 687–723. (Search PDF in 2023)1432-0916 (Online)doi: 10.1007/s00220-014-1960-xinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-03-17T16:26:53Zoai:repositorio.ulisboa.pt:10400.5/28948Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T04:15:10.933598Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv SRB measures for polygonal billiards with contracting reflection laws
title SRB measures for polygonal billiards with contracting reflection laws
spellingShingle SRB measures for polygonal billiards with contracting reflection laws
Del Magno, Gianluigi
Polygonal Billiards
Contracting Reflection Laws
SRB Measures
title_short SRB measures for polygonal billiards with contracting reflection laws
title_full SRB measures for polygonal billiards with contracting reflection laws
title_fullStr SRB measures for polygonal billiards with contracting reflection laws
title_full_unstemmed SRB measures for polygonal billiards with contracting reflection laws
title_sort SRB measures for polygonal billiards with contracting reflection laws
author Del Magno, Gianluigi
author_facet Del Magno, Gianluigi
Dias, João Lopes
Duarte, Pedro
Gaivão, José Pedro
Pinheiro, Diogo
author_role author
author2 Dias, João Lopes
Duarte, Pedro
Gaivão, José Pedro
Pinheiro, Diogo
author2_role author
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, José Pedro
Pinheiro, Diogo
dc.subject.por.fl_str_mv Polygonal Billiards
Contracting Reflection Laws
SRB Measures
topic Polygonal Billiards
Contracting Reflection Laws
SRB Measures
description We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small perturbations of the reflection law, and the tables for which they exist form a generic set in the space of all convex polygons. Specific polygonal tables are studied in detail.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2023-10-10T14:26:25Z
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/10400.5/28948
url http://hdl.handle.net/10400.5/28948
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Del Magno, Gianluigi … [et al.].(2014). “SRB measures for polygonal billiards with contracting reflection laws”. Communications in Mathematical Physics, Volume 329: pp. 687–723. (Search PDF in 2023)
1432-0916 (Online)
doi: 10.1007/s00220-014-1960-x
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 Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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