A note on reversibility and Pell equations

Detalhes bibliográficos
Autor(a) principal: Bessa, Mário
Data de Publicação: 2017
Outros Autores: Carvalho, Maria, Rodrigues, Alexandre A. P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/13919
Resumo: This note concerns hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. Due to the low dimension, we will be able to associate the reversibility with a generalized Pell equation from whose set of solutions we will infer further information. Additionally, we will show that reversibility is a rare feature and will characterize the generic setting.
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spelling A note on reversibility and Pell equationsHyperbolic toral automorphismsReversibilityGeneralized Pell equationsThis note concerns hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. Due to the low dimension, we will be able to associate the reversibility with a generalized Pell equation from whose set of solutions we will infer further information. Additionally, we will show that reversibility is a rare feature and will characterize the generic setting.Sociedade Portuguesa de Matemática SPMRepositório AbertoBessa, MárioCarvalho, MariaRodrigues, Alexandre A. P.2023-05-30T16:29:09Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13919engM. Bessa, M. Carvalho. A. Rodrigues, A note on reversibility and Pell equations, Boletim da SPM 75, 49-62, 2017info: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:RCAAP2023-11-16T15:46:25Zoai:repositorioaberto.uab.pt:10400.2/13919Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:52:51.825293Repositório 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 A note on reversibility and Pell equations
title A note on reversibility and Pell equations
spellingShingle A note on reversibility and Pell equations
Bessa, Mário
Hyperbolic toral automorphisms
Reversibility
Generalized Pell equations
title_short A note on reversibility and Pell equations
title_full A note on reversibility and Pell equations
title_fullStr A note on reversibility and Pell equations
title_full_unstemmed A note on reversibility and Pell equations
title_sort A note on reversibility and Pell equations
author Bessa, Mário
author_facet Bessa, Mário
Carvalho, Maria
Rodrigues, Alexandre A. P.
author_role author
author2 Carvalho, Maria
Rodrigues, Alexandre A. P.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Bessa, Mário
Carvalho, Maria
Rodrigues, Alexandre A. P.
dc.subject.por.fl_str_mv Hyperbolic toral automorphisms
Reversibility
Generalized Pell equations
topic Hyperbolic toral automorphisms
Reversibility
Generalized Pell equations
description This note concerns hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. Due to the low dimension, we will be able to associate the reversibility with a generalized Pell equation from whose set of solutions we will infer further information. Additionally, we will show that reversibility is a rare feature and will characterize the generic setting.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2023-05-30T16:29:09Z
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/10400.2/13919
url http://hdl.handle.net/10400.2/13919
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv M. Bessa, M. Carvalho. A. Rodrigues, A note on reversibility and Pell equations, Boletim da SPM 75, 49-62, 2017
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 Sociedade Portuguesa de Matemática SPM
publisher.none.fl_str_mv Sociedade Portuguesa de Matemática SPM
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
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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