# Branching random walk in Z^4 with branching at the origin only - Mathematics > Probability

Abstract: For the critical branching random walk in $\mathbb{Z}^{4}$ with branching atthe origin only we find the asymptotic behavior of the probability of the eventthat there are particles at the origin at moment $t ightarrow \infty$ andprove a Yaglom type conditional limit theorem for the number of individuals atthe origin given that there are particles at the origin.

Author: Yueyun Hu LAGA, Vladimir Vatutin, Valentin Topchii

Source: https://arxiv.org/