DMTCS Proceedings, Discrete Random Walks, DRW'03

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Individuals at the origin in the critical catalytic branching random walk

Valentin Topchii, Vladimir Vatutin


A continuous time branching random walk on the lattice Z is considered in which individuals may produce children at the origin only. Assuming that the underlying random walk is symmetric and the offspring reproduction law is critical we prove a conditional limit theorem for the number of individuals at the origin.

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