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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Transience of conditioned walks on the plane: encounters and speed of escape

Full text
Author(s):
Popov, Serguei [1, 2] ; Rolla, Leonardo T. [3, 4] ; Ungaretti, Daniel [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Inst Math Stat & Sci Computat, Dept Stat, Rua Sergio Buarque Holanda 651, Campinas, SP - Brazil
[2] Univ Porto, Ctr Matemat, CMUP, Rua Campo Alegre 687, Porto 4169007 - Portugal
[3] Univ Buenos Aires, Argentina Natl Res Council, Buenos Aires, DF - Argentina
[4] NYU Shanghai, NYU ECNU Inst Math Sci, Shanghai - Peoples R China
Total Affiliations: 4
Document type: Journal article
Source: ELECTRONIC JOURNAL OF PROBABILITY; v. 25, 2020.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 17/16294-4 - Percolation and random interlacements
Grantee:Daniel Ungaretti Borges
Support Opportunities: Scholarships in Brazil - Post-Doctoral