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On the tail of the branching random walk local time

Angel, Omer and Hutchcroft, Tom and Járai, Antal A. (2020) On the tail of the branching random walk local time. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210924-202119558

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Abstract

Consider a critical branching random walk on ℤ^d, d≥1, started with a single particle at the origin, and let L(x) be the total number of particles that ever visit a vertex x. We study the tail of L(x) under suitable conditions on the offspring distribution. In particular, our results hold if the offspring distribution has an exponential moment.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2002.12188arXivDiscussion Paper
ORCID:
AuthorORCID
Angel, Omer0000-0002-6451-8242
Hutchcroft, Tom0000-0003-0061-593X
Járai, Antal A.0000-0003-3522-498X
Additional Information:The authors are grateful to the organizers of the Oberwolfach Workshop Strongly Correlated Interacting Processes, where this work was initiated. We thank Ed Perkins and Jean-François Le Gall for helpful discussions on the literature. OA is supported in part by an NSERC discovery grant.
Funders:
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Record Number:CaltechAUTHORS:20210924-202119558
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210924-202119558
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111032
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:27 Sep 2021 16:23
Last Modified:27 Sep 2021 16:23

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