Isospectral reduction in infinite graphs

Detalhes bibliográficos
Autor(a) principal: Duarte, Pedro
Data de Publicação: 2020
Outros Autores: Torres, M. J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/69039
Resumo: L. A. Bunimovich and B. Z. Webb developed a theory for transforming a finite weighted graph while preserving its spectrum, referred as isospectral reduction theory. In this work we extend this theory to a class of operators on Banach spaces that include Markov type operators. We apply this theory to infinite countable weighted graphs admitting a finite structural set to calculate the stationary measures of a family of countable Markov chains.
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spelling Isospectral reduction in infinite graphsIsospectral graph reductionMarkov operatorEigenvalue problemCiências Naturais::MatemáticasScience & TechnologyL. A. Bunimovich and B. Z. Webb developed a theory for transforming a finite weighted graph while preserving its spectrum, referred as isospectral reduction theory. In this work we extend this theory to a class of operators on Banach spaces that include Markov type operators. We apply this theory to infinite countable weighted graphs admitting a finite structural set to calculate the stationary measures of a family of countable Markov chains.PD was supported by “Fundação para a Ciência e a Tecnologia” through the Project UID/MAT/04561/2013. MJT was partially supported by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the “Fundação para a Ciência e a Tecnologia”, through the Project UID/MAT/00013/2013.European Mathematical Society Publishing HouseUniversidade do MinhoDuarte, PedroTorres, M. J.20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/69039eng1664-039X10.4171/JST/318https://www.ems-ph.org/journals/show_abstract.php?issn=1664-039X&vol=10&iss=3&rank=8info: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:RCAAP2023-07-21T12:12:23Zoai:repositorium.sdum.uminho.pt:1822/69039Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:04:17.528091Repositório 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 Isospectral reduction in infinite graphs
title Isospectral reduction in infinite graphs
spellingShingle Isospectral reduction in infinite graphs
Duarte, Pedro
Isospectral graph reduction
Markov operator
Eigenvalue problem
Ciências Naturais::Matemáticas
Science & Technology
title_short Isospectral reduction in infinite graphs
title_full Isospectral reduction in infinite graphs
title_fullStr Isospectral reduction in infinite graphs
title_full_unstemmed Isospectral reduction in infinite graphs
title_sort Isospectral reduction in infinite graphs
author Duarte, Pedro
author_facet Duarte, Pedro
Torres, M. J.
author_role author
author2 Torres, M. J.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Duarte, Pedro
Torres, M. J.
dc.subject.por.fl_str_mv Isospectral graph reduction
Markov operator
Eigenvalue problem
Ciências Naturais::Matemáticas
Science & Technology
topic Isospectral graph reduction
Markov operator
Eigenvalue problem
Ciências Naturais::Matemáticas
Science & Technology
description L. A. Bunimovich and B. Z. Webb developed a theory for transforming a finite weighted graph while preserving its spectrum, referred as isospectral reduction theory. In this work we extend this theory to a class of operators on Banach spaces that include Markov type operators. We apply this theory to infinite countable weighted graphs admitting a finite structural set to calculate the stationary measures of a family of countable Markov chains.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01T00:00:00Z
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/1822/69039
url http://hdl.handle.net/1822/69039
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1664-039X
10.4171/JST/318
https://www.ems-ph.org/journals/show_abstract.php?issn=1664-039X&vol=10&iss=3&rank=8
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 European Mathematical Society Publishing House
publisher.none.fl_str_mv European Mathematical Society Publishing House
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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