Branching random walk in Z^4 with branching at the origin only
Probability
2010-07-28 v1
Abstract
For the critical branching random walk in 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 and prove a Yaglom type conditional limit theorem for the number of individuals at the origin given that there are particles at the origin.
Keywords
Cite
@article{arxiv.1006.4769,
title = {Branching random walk in Z^4 with branching at the origin only},
author = {Yueyun Hu and Vladimir Vatutin and Valentin Topchii},
journal= {arXiv preprint arXiv:1006.4769},
year = {2010}
}