Greedy clearing of persistent Poissonian dust

Autores
Trivellato Rolla, Leonardo; Sidoravicius, V.; Tournier, Laurent
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Given a Poisson point process on R, assign either one or two marks to each point of this process, independently of the others. We study the motion of a particle that jumps deterministically from its current location to the nearest point of the Poisson point process which still contains at least one mark, and removes one mark per each visit. A point of the Poisson point process which is left with no marks is removed from the system. We prove that the presence of any positive density of double marks leads to the eventual removal of every Poissonian point.
Fil: Trivellato Rolla, Leonardo. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina
Fil: Sidoravicius, V.. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil
Fil: Tournier, Laurent. Universite de Paris 13-Nord; Francia
Materia
Random Environment
Poisson Point Process
Greedy Strategy
Ergodic Theorem
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/18801
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Greedy clearing of persistent Poissonian dustTrivellato Rolla, LeonardoSidoravicius, V.Tournier, LaurentRandom EnvironmentPoisson Point ProcessGreedy StrategyErgodic Theoremhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Given a Poisson point process on R, assign either one or two marks to each point of this process, independently of the others. We study the motion of a particle that jumps deterministically from its current location to the nearest point of the Poisson point process which still contains at least one mark, and removes one mark per each visit. A point of the Poisson point process which is left with no marks is removed from the system. We prove that the presence of any positive density of double marks leads to the eventual removal of every Poissonian point.Fil: Trivellato Rolla, Leonardo. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; ArgentinaFil: Sidoravicius, V.. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; BrasilFil: Tournier, Laurent. Universite de Paris 13-Nord; FranciaElsevier Science2014-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/18801Trivellato Rolla, Leonardo; Sidoravicius, V.; Tournier, Laurent; Greedy clearing of persistent Poissonian dust; Elsevier Science; Stochastic Processes And Their Applications; 124; 10; 10-2014; 3496-35060304-4149CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.spa.2014.04.005info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S030441491400091Xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:44:01Zoai:ri.conicet.gov.ar:11336/18801instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:44:01.815CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Greedy clearing of persistent Poissonian dust
title Greedy clearing of persistent Poissonian dust
spellingShingle Greedy clearing of persistent Poissonian dust
Trivellato Rolla, Leonardo
Random Environment
Poisson Point Process
Greedy Strategy
Ergodic Theorem
title_short Greedy clearing of persistent Poissonian dust
title_full Greedy clearing of persistent Poissonian dust
title_fullStr Greedy clearing of persistent Poissonian dust
title_full_unstemmed Greedy clearing of persistent Poissonian dust
title_sort Greedy clearing of persistent Poissonian dust
dc.creator.none.fl_str_mv Trivellato Rolla, Leonardo
Sidoravicius, V.
Tournier, Laurent
author Trivellato Rolla, Leonardo
author_facet Trivellato Rolla, Leonardo
Sidoravicius, V.
Tournier, Laurent
author_role author
author2 Sidoravicius, V.
Tournier, Laurent
author2_role author
author
dc.subject.none.fl_str_mv Random Environment
Poisson Point Process
Greedy Strategy
Ergodic Theorem
topic Random Environment
Poisson Point Process
Greedy Strategy
Ergodic Theorem
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Given a Poisson point process on R, assign either one or two marks to each point of this process, independently of the others. We study the motion of a particle that jumps deterministically from its current location to the nearest point of the Poisson point process which still contains at least one mark, and removes one mark per each visit. A point of the Poisson point process which is left with no marks is removed from the system. We prove that the presence of any positive density of double marks leads to the eventual removal of every Poissonian point.
Fil: Trivellato Rolla, Leonardo. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina
Fil: Sidoravicius, V.. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil
Fil: Tournier, Laurent. Universite de Paris 13-Nord; Francia
description Given a Poisson point process on R, assign either one or two marks to each point of this process, independently of the others. We study the motion of a particle that jumps deterministically from its current location to the nearest point of the Poisson point process which still contains at least one mark, and removes one mark per each visit. A point of the Poisson point process which is left with no marks is removed from the system. We prove that the presence of any positive density of double marks leads to the eventual removal of every Poissonian point.
publishDate 2014
dc.date.none.fl_str_mv 2014-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/18801
Trivellato Rolla, Leonardo; Sidoravicius, V.; Tournier, Laurent; Greedy clearing of persistent Poissonian dust; Elsevier Science; Stochastic Processes And Their Applications; 124; 10; 10-2014; 3496-3506
0304-4149
CONICET Digital
CONICET
url http://hdl.handle.net/11336/18801
identifier_str_mv Trivellato Rolla, Leonardo; Sidoravicius, V.; Tournier, Laurent; Greedy clearing of persistent Poissonian dust; Elsevier Science; Stochastic Processes And Their Applications; 124; 10; 10-2014; 3496-3506
0304-4149
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.spa.2014.04.005
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S030441491400091X
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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