Glauber dynamics in the continuum via generating functionals evolution

Detalhes bibliográficos
Autor(a) principal: Finkelshtein, Dmitri L.
Data de Publicação: 2012
Outros Autores: Kondratiev, Yuri G., Oliveira, Maria João
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/2593
Resumo: We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.
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spelling Glauber dynamics in the continuum via generating functionals evolutionGenerating functionalGlauber dynamicsInteracting particle systemContinuous systemOvsjannikov’s methodVlasov scalingWe construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.BirkhauserRepositório AbertoFinkelshtein, Dmitri L.Kondratiev, Yuri G.Oliveira, Maria João2013-07-22T09:52:43Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/2593engFinkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João - Glauber dynamics in the continuum via generating functionals evolution. "Complex Analysis and Operator Theory" [Em linha]. ISSN 1661-8254 (Print) 1661-8262 (Online). Vol. 6, nº 4 (2012), p. 923-9451661-8254info: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:RCAAP2023-11-16T15:16:17Zoai:repositorioaberto.uab.pt:10400.2/2593Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:44:03.090143Repositório 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 Glauber dynamics in the continuum via generating functionals evolution
title Glauber dynamics in the continuum via generating functionals evolution
spellingShingle Glauber dynamics in the continuum via generating functionals evolution
Finkelshtein, Dmitri L.
Generating functional
Glauber dynamics
Interacting particle system
Continuous system
Ovsjannikov’s method
Vlasov scaling
title_short Glauber dynamics in the continuum via generating functionals evolution
title_full Glauber dynamics in the continuum via generating functionals evolution
title_fullStr Glauber dynamics in the continuum via generating functionals evolution
title_full_unstemmed Glauber dynamics in the continuum via generating functionals evolution
title_sort Glauber dynamics in the continuum via generating functionals evolution
author Finkelshtein, Dmitri L.
author_facet Finkelshtein, Dmitri L.
Kondratiev, Yuri G.
Oliveira, Maria João
author_role author
author2 Kondratiev, Yuri G.
Oliveira, Maria João
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Finkelshtein, Dmitri L.
Kondratiev, Yuri G.
Oliveira, Maria João
dc.subject.por.fl_str_mv Generating functional
Glauber dynamics
Interacting particle system
Continuous system
Ovsjannikov’s method
Vlasov scaling
topic Generating functional
Glauber dynamics
Interacting particle system
Continuous system
Ovsjannikov’s method
Vlasov scaling
description We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
2013-07-22T09:52:43Z
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/10400.2/2593
url http://hdl.handle.net/10400.2/2593
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Finkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João - Glauber dynamics in the continuum via generating functionals evolution. "Complex Analysis and Operator Theory" [Em linha]. ISSN 1661-8254 (Print) 1661-8262 (Online). Vol. 6, nº 4 (2012), p. 923-945
1661-8254
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 Birkhauser
publisher.none.fl_str_mv Birkhauser
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
repository.mail.fl_str_mv
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