Wenming Hong

collaborators

3 papers

math.PR2025

Probabilistic Proof of Conditional Limit Theorem for Critical Galton--Waston Process

Jiayan Guo, Wenming Hong

Let ${Z_{n}}_{n \geq 0}$ be a critical Galton--Waston branching process with finite variance $I ¨ ^{2}$ . Spitzer (unpublished), Lamperti and Ney (1968) proved that for any fixed $0<t…

math.PR2025

Precise Large Deviations for the Total Population of Heavy-tailed Critical Branching Processes with Immigration

Jiayan Guo, Wenming Hong

We focus on the partial sum $S_{n} = X_{1} + \dots + X_{n}$ of the critical branching process with immigration ${X_{n}}$ , when the offspring $I^¾$ is regularly varying with index $Î½+1…

math.PR2025

On the maximal displacement of critical branching random walk in random environment

Wenxin Fu, Wenming Hong

In this article, we study the maximal displacement of critical branching random walk in random environment. Let $M_{n}$ be the maximal displacement of a particle in generation $n$ , a…