Haojie Hou

activity

20212026

most citedAsymptotic behaviors of subcritical branching killed Brownian motion with drift

1 citations · 2 across the 16 of their papers we have counts for

collaborators

16 papers

math.PR2026

Small value probabilities of additive and derivative martingales in supercritical branching Brownian motions and super Brownian motions

Shukai Chen, Haojie Hou

In this paper, we establish asymptotics for the small value probabilities of additive and derivative martingales in both supercritical branching Brownian motions and super Brownian…

math.PR2026

Asymptotic behaviours of critical branching random walk in $R^{d}$

Haojie Hou, Yaping Zhu

In this paper, we study the asymptotic behaviours of a critical branching random walk in $R^{d}$ under the assumption that the offspring distribution belongs to the domain o…

math.PR2026

On the maximal displacement of subcritical branching random walks with stretched exponential tail

Haojie Hou

We study the maximal displacement of a one-dimensional subcritical branching random walk with offspring distribution ${p_{k}}$ and step size $X$ such that $m := \sum_{k=1}^\infty k…

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

Law of iterated logarithm for supercritical non-symmetric branching Markov process

Haojie Hou, Yan-Xia Ren, Renming Song

Let ${(X_{t})_{t \geq 0}, P_{δ_{x}}, x \in E}$ be a supercritical branching Markov process (which is not necessary symmetric) on a locally compact metric measure space $(E, μ)$ …

math.PR2025

Tail probability of maximal displacement in critical and subcritical branching stable processes

Haojie Hou, Yiyang Jiang, Yan-Xia Ren +1

In this paper, we study critical and subcritical branching $α$ -stable processes, $α \in (0, 2)$ . We obtain the exact asymptotic behaviors of the tails of the maximal positions of al…

math.PR2024

Local properties for $1$ -dimensional critical branching Lévy process

Haojie Hou, Yan-Xia Ren, Renming Song

Consider a one dimensional critical branching Lévy process $((Z_{t})_{t \geq 0}, P_{x})$ . Assume that the offspring distribution either has finite second moment or belongs to…

math.PR2024★ 1 cited

Asymptotic behaviors of subcritical branching killed Brownian motion with drift

Haojie Hou, Yan-Xia Ren, Renming Song +1

In this paper, we study asymptotic behaviors of a subcritical branching killed Brownian motion with drift $- ρ$ and offspring distribution ${p_{k} : k \geq 0}$ . Let $ζ^{- ρ}$ b…

math.PR2024

Tails of extinction time and maximal displacement for critical branching killed Lévy process

Haojie Hou, Yan-Xia Ren, Renming Song

In this paper, we study asymptotic behaviors of the tails of extinction time and maximal displacement of a critical branching killed Lévy process $(Z_{t}^{(0, \infty)})_{t \geq 0}$ in $…

math.PR2023

$1$ -stable fluctuation of the derivative martingale of branching random walk

Haojie Hou, Yan-Xia Ren, Renming Song

In this paper, we study the functional convergence in law of the fluctuations of the derivative martingale of branching random walk on the real line. Our main result strengthens th…

math.PR2023

Asymptotic expansion for additive measure of branching Brownian motion

Haojie Hou, Yan-Xia Ren, Renming Song

Let $N (t)$ be the collection of particles alive at time $t$ in a branching Brownian motion in $R^{d}$ , and for $u \in N (t)$ , let $X_{u} (t)$ be the position of particle…

math.PR2023

Tail probability of maximal displacement in critical branching Lévy process with stable branching

Haojie Hou, Yiyang Jiang, Yan-Xia Ren +1

Consider a critical branching Lévy process ${X_{t}, t \geq 0}$ with branching rate $β > 0,$ offspring distribution ${p_{k} : k \geq 0}$ and spatial motion ${ξ_{t}, Π_{x}}$ . For any $t\ge 0…

math.PR2023

Asymptotic expansion for branching killed Brownian motion with drift

Haojie Hou, Yan-Xia Ren, Renming Song

Let $Z_{t}^{(0, \infty)}$ be the point process formed by the positions of all particles alive at time $t$ in a branching Brownian motion with drift and killed upon reaching 0. We stud…

math.PR2023

Extremal process for irreducible multitype branching Brownian motion

Haojie Hou, Yan-Xia Ren, Renming Song

We first study the convergence of solutions of a system of F-KPP equations related to irreducible multitype branching Brownian motions with Heaviside-type initial conditions to tra…

math.PR2022

Invariance principle for the maximal position process of branching Brownian motion in random environment

Haojie Hou, Yan-Xia Ren, Renming Song

In this paper we study the maximal position process of branching Brownian motion in random spatial environment. The random environment is given by a process $ξ= \left(ξ(x)\right)_{…

math.PR2021★ 1 cited

The Seneta-Heyde scaling for supercritical super-Brownian motion

Haojie Hou, Yan-Xia Ren, Renming Song

We consider the additive martingale $W_{t} (λ)$ and the derivative martingale $\partial W_{t} (λ)$ for one-dimensional supercritical super-Brownian motions with general branching mechani…

Small value probabilities of additive and derivative martingales in supercritical branching Brownian motions and super Brownian motions

Asymptotic behaviours of critical branching random walk in Rd

On the maximal displacement of subcritical branching random walks with stretched exponential tail

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

Law of iterated logarithm for supercritical non-symmetric branching Markov process

Tail probability of maximal displacement in critical and subcritical branching stable processes

Local properties for 1-dimensional critical branching Lévy process

Asymptotic behaviors of subcritical branching killed Brownian motion with drift

Tails of extinction time and maximal displacement for critical branching killed Lévy process

1-stable fluctuation of the derivative martingale of branching random walk

Asymptotic expansion for additive measure of branching Brownian motion

Tail probability of maximal displacement in critical branching Lévy process with stable branching

Asymptotic expansion for branching killed Brownian motion with drift

Extremal process for irreducible multitype branching Brownian motion

Invariance principle for the maximal position process of branching Brownian motion in random environment

The Seneta-Heyde scaling for supercritical super-Brownian motion

Asymptotic behaviours of critical branching random walk in $R^{d}$

Local properties for $1$ -dimensional critical branching Lévy process

$1$ -stable fluctuation of the derivative martingale of branching random walk