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 (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210924-202119558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) | ||||||||
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| 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. | ||||||||
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| 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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