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dc.contributor.author
Trivellato Rolla, Leonardo
dc.contributor.author
Sidoravicius, V.
dc.contributor.author
Tournier, Laurent
dc.date.available
2017-06-23T20:07:59Z
dc.date.issued
2014-10
dc.identifier.citation
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
dc.identifier.issn
0304-4149
dc.identifier.uri
http://hdl.handle.net/11336/18801
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Random Environment
dc.subject
Poisson Point Process
dc.subject
Greedy Strategy
dc.subject
Ergodic Theorem
dc.subject.classification
Estadística y Probabilidad
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Greedy clearing of persistent Poissonian dust
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-23T14:13:32Z
dc.journal.volume
124
dc.journal.number
10
dc.journal.pagination
3496-3506
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
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
dc.description.fil
Fil: Sidoravicius, V.. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil
dc.description.fil
Fil: Tournier, Laurent. Universite de Paris 13-Nord; Francia
dc.journal.title
Stochastic Processes And Their Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.spa.2014.04.005
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S030441491400091X
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