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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  
dc.subject
TRANSIENCE  
dc.subject.classification
Estadística y Probabilidad  
dc.subject.classification
Matemáticas  
dc.subject.classification
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