Space representation of stochastic processes with delay

Detalhes bibliográficos
Autor(a) principal: Dahmen, Silvio Renato
Data de Publicação: 2008
Outros Autores: Hinrichsen, Haye, Kinzel, Wolfgang
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/101630
Resumo: We show that a time series xt evolving by a nonlocal update rule xt= f (xt−n ,xt−k) with two different delays k<n can be mapped onto a local process in two dimensions with special time-delayed boundary conditions, provided that n and k are coprime. For certain stochastic update rules exhibiting a nonequilibrium phase transition, this mapping implies that the critical behavior does not depend on the short delay k. In these cases, the autocorrelation function of the time series is related to the critical properties of the corresponding twodimensional model.
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spelling Dahmen, Silvio RenatoHinrichsen, HayeKinzel, Wolfgang2014-08-22T02:11:12Z20081539-3755http://hdl.handle.net/10183/101630000634723We show that a time series xt evolving by a nonlocal update rule xt= f (xt−n ,xt−k) with two different delays k<n can be mapped onto a local process in two dimensions with special time-delayed boundary conditions, provided that n and k are coprime. For certain stochastic update rules exhibiting a nonequilibrium phase transition, this mapping implies that the critical behavior does not depend on the short delay k. In these cases, the autocorrelation function of the time series is related to the critical properties of the corresponding twodimensional model.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 77, no. 3 (Mar. 2008), 031106, 6 p.Processos estocásticosTransformações de faseSpace representation of stochastic processes with delayEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000634723.pdf000634723.pdfTexto completo (inglês)application/pdf571110http://www.lume.ufrgs.br/bitstream/10183/101630/1/000634723.pdf4f6b2c62315a2c15bead69449fa7380eMD51TEXT000634723.pdf.txt000634723.pdf.txtExtracted Texttext/plain22559http://www.lume.ufrgs.br/bitstream/10183/101630/2/000634723.pdf.txt3d0af7c7bdcc97a9c00f0853b347b3d2MD52THUMBNAIL000634723.pdf.jpg000634723.pdf.jpgGenerated Thumbnailimage/jpeg2029http://www.lume.ufrgs.br/bitstream/10183/101630/3/000634723.pdf.jpg9112ec8ba2d9feffc7fa00c498f4befdMD5310183/1016302022-02-22 04:48:12.456765oai:www.lume.ufrgs.br:10183/101630Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2022-02-22T07:48:12Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Space representation of stochastic processes with delay
title Space representation of stochastic processes with delay
spellingShingle Space representation of stochastic processes with delay
Dahmen, Silvio Renato
Processos estocásticos
Transformações de fase
title_short Space representation of stochastic processes with delay
title_full Space representation of stochastic processes with delay
title_fullStr Space representation of stochastic processes with delay
title_full_unstemmed Space representation of stochastic processes with delay
title_sort Space representation of stochastic processes with delay
author Dahmen, Silvio Renato
author_facet Dahmen, Silvio Renato
Hinrichsen, Haye
Kinzel, Wolfgang
author_role author
author2 Hinrichsen, Haye
Kinzel, Wolfgang
author2_role author
author
dc.contributor.author.fl_str_mv Dahmen, Silvio Renato
Hinrichsen, Haye
Kinzel, Wolfgang
dc.subject.por.fl_str_mv Processos estocásticos
Transformações de fase
topic Processos estocásticos
Transformações de fase
description We show that a time series xt evolving by a nonlocal update rule xt= f (xt−n ,xt−k) with two different delays k<n can be mapped onto a local process in two dimensions with special time-delayed boundary conditions, provided that n and k are coprime. For certain stochastic update rules exhibiting a nonequilibrium phase transition, this mapping implies that the critical behavior does not depend on the short delay k. In these cases, the autocorrelation function of the time series is related to the critical properties of the corresponding twodimensional model.
publishDate 2008
dc.date.issued.fl_str_mv 2008
dc.date.accessioned.fl_str_mv 2014-08-22T02:11:12Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/101630
dc.identifier.issn.pt_BR.fl_str_mv 1539-3755
dc.identifier.nrb.pt_BR.fl_str_mv 000634723
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url http://hdl.handle.net/10183/101630
dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 77, no. 3 (Mar. 2008), 031106, 6 p.
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