Branching random walk in Z^4 with branching at the origin only

Details Branching random walk in Z^4 with branching at the origin only Branching random walk in Z^4 with branching at the origin only

2010-06-24

arxiv.org/abs/1006.4769v1

Mathematics

Probability

Scientific paper

For the critical branching random walk in $\mathbb{Z}^{4}$ 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\rightarrow \infty $ 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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