Published September 27, 2021
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On the tail of the branching random walk local time
- Creators
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Angel, Omer
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Hutchcroft, Tom
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Járai, Antal A.
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.
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.Attached Files
Submitted - 2002.12188.pdf
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2002.12188.pdf
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Additional details
- Eprint ID
- 111032
- Resolver ID
- CaltechAUTHORS:20210924-202119558
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Created
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2021-09-27Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field