Consider a critical branching random walk on Zd, 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.
|Journal||Probability Theory and Related Fields|
|Publication status||Acceptance date - 21 Oct 2020|
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