Wenming Hong

collaborators

3 papers

math.PR2025

The Genealogy of Conditioned Critical Galton--Watson Trees

Jiayan Guo, Wenming Hong

Let $T$ be the random family tree associated with the critical Galton--Watson process ${Z_{n}}_{n \geq 0}$ . Geiger (1999) provided an explicit representation of the law of $T$ cond…

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…