Shuxiong Zhang

activity

20242026

collaborators

4 papers

math.PR2026

On empty balls of critical 2-dimensional branching random walks

Shuxiong Zhang

Let ${Z_{n}}_{n \geq 0}$ be a critical $d$ -dimensional branching random walk started from a Poisson random measure whose intensity measure is the Lebesgue measure on $R^{d}$ …

math.PR2025

Beyond Poisson Approximation: Sums of Markovian Bernoulli Variables with Applications to Brownian Motions and Branching Processes

Hua-Ming Wang, Shuxiong Zhang

Let ${I^\cdot_{i}}_{i \geq 1}$ be a sequence of dependent Bernoulli random variables. While the Poisson approximation for the distribution of $\sum_{i = 1}^{n} I^\cdot_{i}$ has been extensively studi…

math.PR2025

On the maximal displacement of subcritical branching random walks with or without killing

Haojie Hou, Shuxiong Zhang

Consider a subcritical branching random walk ${Z_{k}}_{k \geq 0}$ with offspring distribution ${p_{k}}_{k \geq 0}$ and step size $X$ . Let $M_{n}$ denote the rightmost position reached…

math.PR2024

Upper deviation probabilities for the range of a supercritical super-Brownian motion

Shuxiong Zhang

Let ${X_{t}}_{t \geq 0}$ be a $d$ -dimensional supercritical super-Brownian motion started from the origin with branching mechanism $I ¨ $ . Denote by $R_t:=\inf\{r>0:X_s(\{x\in \mathb…