On the tail of the branching random walk local time.
Published version
Peer-reviewed
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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.
Description
Funder: Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; doi: http://dx.doi.org/10.13039/501100002790
Keywords
60J55, 60J80
Journal Title
Probab Theory Relat Fields
Conference Name
Journal ISSN
0178-8051
1432-2064
1432-2064
Volume Title
180
Publisher
Springer Science and Business Media LLC
