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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 (Unpublished)

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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 Paper
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.
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Record Number:CaltechAUTHORS:20210924-202119558
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111032
Deposited By: George Porter
Deposited On:27 Sep 2021 16:23
Last Modified:27 Sep 2021 16:23

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