Wenming Hong

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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…

math.PR2024

Asymptotic behavior for the quenched survival probability of a supercritical branching random walk in random environment with a barrier

You Lv, Wenming Hong

We introduce a random barrier to a supercritical branching random walk in an i.i.d. random environment ${L_{n}}$ indexed by time $n,$ i.e., in each generation, only the i…

math.PR2024

Precise Large Deviations For The Total Population Of Heavy-Tailed Subcritical Branching Process With Immigration

Jiayan Guo, Wenming Hong

In this article we focus on the partial sum $S_{n} = X_{1} + \dots + X_{n}$ of the subcritical branching process with immigration ${X_{n}}_{n \in N_{+}}$ , under the condition t…