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dc.contributor.author
Popov, Serguei
dc.contributor.author
Trivellato Rolla, Leonardo
dc.contributor.author
Ungaretti, Daniel
dc.date.available
2021-10-15T18:23:03Z
dc.date.issued
2020-10
dc.identifier.citation
Popov, Serguei; Trivellato Rolla, Leonardo; Ungaretti, Daniel; Transience of conditioned walks on the plane: Encounters and speed of escape; Project Euclid; Electronic Journal Of Probability; 25; 10-2020
dc.identifier.issn
1083-6489
dc.identifier.uri
http://hdl.handle.net/11336/143903
dc.description.abstract
We consider the two-dimensional simple random walk conditioned on never hitting the origin, which is, formally speaking, the Doob’s h-transform of the simple random walk with respect to the potential kernel. We then study the behavior of the future minimum distance of the walk to the origin, and also prove that two independent copies of the conditioned walk, although both transient, will nevertheless meet infinitely many times a.s.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Project Euclid
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CONDITIONING
dc.subject
DOOB’S H-TRANSFORM
dc.subject
SIMPLE RANDOM WALK
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TRANSIENCE
dc.subject.classification
Estadística y Probabilidad
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Transience of conditioned walks on the plane: Encounters and speed of escape
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-07T18:37:55Z
dc.journal.volume
25
dc.journal.pais
Zambia
dc.description.fil
Fil: Popov, Serguei. Universidad de Porto; Portugal. Universidade Estadual de Campinas; Brasil
dc.description.fil
Fil: Trivellato Rolla, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Ungaretti, Daniel. Universidade Estadual de Campinas; Brasil
dc.journal.title
Electronic Journal Of Probability
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1214/20-EJP458
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/electronic-journal-of-probability/volume-25/issue-none/Transience-of-conditioned-walks-on-the-plane--encounters-and/10.1214/20-EJP458.full
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