49 citations · 78 across the 17 of their papers we have counts for
10 papers · 1 filter
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.…
On the Maximal Displacement of Near-critical Branching Random Walks
Eyal Neuman, Xinghua Zheng
We consider a branching random walk on started by particles at the origin, where each particle disperses according to a mean-zero random walk with bounded support…
On the Maximal Displacement of Subcritical Branching Random Walks
Eyal Neuman, Xinghua Zheng
We study the maximal displacement of a one dimensional subcritical branching random walk initiated by a single particle at the origin. For each let be the…
A phase transition for measure-valued SIR epidemic processes
Steven P. Lalley, Edwin A. Perkins, Xinghua Zheng
We consider measure-valued processes that solve the following martingale problem: for a given initial measure , and for all smooth, compactly supported test function…
Subcritical branching processes in random environment without Cramer condition
Vladimir Vatutin, Xinghua Zheng
A subcritical branching process in random environment (BPRE) is considered whose associated random walk does not satisfy the Cramer condition. The asymptotics for the survival prob…
Discrete Fractal Dimensions of the Ranges of Random Walks in Associate with Random Conductances
Yimin Xiao, Xinghua Zheng
Let X= {X_t, t \ge 0} be a continuous time random walk in an environment of i.i.d. random conductances {μ_e \in [1, \infty), e \in E_d}, where E_d is the set of nonoriented nearest…