Density fluctuations for a zero-range process on the percolation cluster

Detalhes bibliográficos
Autor(a) principal: Gonçalves, Patrícia
Data de Publicação: 2009
Outros Autores: Jara, Milton
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/11582
Resumo: We prove that the density fluctuations for a zero-range process evolving on the $d$-dimensional supercritical percolation cluster, with $d\geq{3}$, are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $\mathcal{ S}'(\mathbb {R}^d)$.
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spelling Density fluctuations for a zero-range process on the percolation clusterZero-range processPercolation clusterdensity fluctuationsScience & TechnologyWe prove that the density fluctuations for a zero-range process evolving on the $d$-dimensional supercritical percolation cluster, with $d\geq{3}$, are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $\mathcal{ S}'(\mathbb {R}^d)$.M.J. was supported by the Belgian Interuniversity Attraction Poles Program P6/02, through the network NOSY ( Nonlinear systems, stochastic processes and statistical mechanics). M.J. would like to thanks the hospitality of Universidade do Minho, where part of this work was done. P. G. express her gratitude to "Fundacao para a Ciencia e Tecnologia" for the financial support with the grant /SFRH/BPD/39991/2007 and to "Fundacao Calouste Gulbenkian" for the Prize "Estimulo a Investigacao" for the research project "Hydrodynamic limit of particle systems". P. G. wants to thank the hospitality of the Universite Catholique de Louvain-la-Neuve and IMPA, where part of this work was done.IMSUniversidade do MinhoGonçalves, PatríciaJara, Milton20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11582eng"Electronic Communications in Probability". ISSN 1083-589X. 14 (2009) 382-395.1083-589X10.1214/ECP.v14-1491http://www.emis.de/journals/EJP-ECP/_ejpecp/ECP/include/getdocb1e1.pdfinfo: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:RCAAP2023-07-21T11:55:16Zoai:repositorium.sdum.uminho.pt:1822/11582Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:44:47.904837Repositório 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 Density fluctuations for a zero-range process on the percolation cluster
title Density fluctuations for a zero-range process on the percolation cluster
spellingShingle Density fluctuations for a zero-range process on the percolation cluster
Gonçalves, Patrícia
Zero-range process
Percolation cluster
density fluctuations
Science & Technology
title_short Density fluctuations for a zero-range process on the percolation cluster
title_full Density fluctuations for a zero-range process on the percolation cluster
title_fullStr Density fluctuations for a zero-range process on the percolation cluster
title_full_unstemmed Density fluctuations for a zero-range process on the percolation cluster
title_sort Density fluctuations for a zero-range process on the percolation cluster
author Gonçalves, Patrícia
author_facet Gonçalves, Patrícia
Jara, Milton
author_role author
author2 Jara, Milton
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Gonçalves, Patrícia
Jara, Milton
dc.subject.por.fl_str_mv Zero-range process
Percolation cluster
density fluctuations
Science & Technology
topic Zero-range process
Percolation cluster
density fluctuations
Science & Technology
description We prove that the density fluctuations for a zero-range process evolving on the $d$-dimensional supercritical percolation cluster, with $d\geq{3}$, are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $\mathcal{ S}'(\mathbb {R}^d)$.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
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/1822/11582
url http://hdl.handle.net/1822/11582
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Electronic Communications in Probability". ISSN 1083-589X. 14 (2009) 382-395.
1083-589X
10.1214/ECP.v14-1491
http://www.emis.de/journals/EJP-ECP/_ejpecp/ECP/include/getdocb1e1.pdf
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 IMS
publisher.none.fl_str_mv IMS
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
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