9 citations · 23 across the 5 of their papers we have counts for
6 papers
Supercritical Spatial SIR Epidemics: Spreading Speed and Herd Immunity
Xinghua Zheng, Qingsan Zhu
We study supercritical spatial SIR epidemics on , where each site in represents a village and stands for the village size.…
Branching interlacements and tree-indexed random walks in tori
Qingsan Zhu
We introduce a model of branching interlacements for general critical offspring distributions. It consists of a countable collection of infinite tree-indexed random walk trajectori…
On the critical branching random walk III: the critical dimension
Qingsan Zhu
In this paper, we study the critical branching random walk in the critical dimension, . We provide the asymptotics of the probability of visiting a fixed finite subset and the…
On the critical branching random walk II: Branching capacity and branching recurrence
Qingsan Zhu
We continue our study of critical branching random walk and branching capacity. In this paper we introduce branching recurrence and branching transience and prove an analogous vers…
On the critical branching random walk I: Branching capacity and visiting probability
Qingsan Zhu
We extend the theory of discrete capacity to critical branching random walk. We introduce branching capacity for any finite subset of . Analogous to the regular discr…
An upper bound for the probability of visiting a distant point by critical branching random walk in
Qingsan Zhu
In this paper, we study the probability of visiting a distant point by critical branching random walk starting from the origin. We prove that this probability i…