Preprint
Sep 2026
Critical branching random walks on $\mathbb{Z}^2$: local survival probabilities and Yaglom limit theorems
We consider a branching random walk on $\mathbb{Z}^2$ with critical offspring of mean $1$ and spatial motion governed by the jumps of a lazy simple random walk. For every site $x\in\mathbb{Z}^2$, we obtain a uniform asymptotical estimate for the local survival probability, i.e., the probability that there are particles...
Tian-Yi Bai, Xin-Xin Chen, Shen Lin
· 1 citation