Shuxiong Zhang

activity

20202026

collaborators

Showing 2025Show all

3 papers · 1 filter

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.PR2025

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

Hua-Ming Wang, Shuxiong Zhang

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

math.PR2025

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 $R^{d}$ …