Branching random walk in Z⁴ with branching at the origin only

2010/06/24 by Yueyun Hu, Vladimir Vatutin, Hu, Yueyun +3
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1006.4769

arxiv created 2010/06/24 · arxiv updated 2010/07/27

Abstract

For the critical branching random walk in ℤ⁴ with branching at the origin only we find the asymptotic behavior of the probability of the event that there are particles at the origin at moment t→ ∞ and prove a Yaglom type conditional limit theorem for the number of individuals at the origin given that there are particles at the origin.

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