Chunmao Huang

activity

20102022

L^{p}

and its exponential rate for a branching process in a random environment

36 citations · 43 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR2022

Central limit theorem and Berry-Esseen bounds for a branching random walk with immigration in a random environment

Chunmao Huang, Yukun Ren, Runze Li

We consider a branching random walk on $d$ -dimensional real space with immigration in a time-dependent random environment. Let $Z_{n} (t)$ be the so-called partition function…

math.PR2018★ 3 cited

Large and moderate deviations for a $R^{d}$ -valued branching random walk with a random environment in time

Chunmao Huang, Xin Wang, Xiaoqiang Wang

We consider a $R^{d}$ -valued branching random walk with a stationary and ergodic environment $ξ = (ξ_{n})$ indexed by time $n \in N$ . Let $Z_{n}$ be the counting measure of…

math.PR2015★ 1 cited

Convergence of martingale and moderate deviations for a branching random walk with a random environment in time

Xiaoqiang Wang, Chunmao Huang

We consider a branching random walk on $R$ with a stationary and ergodic environment $ξ = (ξ_{n})$ indexed by time $n \in N$ . Let $Z_{n}$ be the counting measure of parti…

math.PR2014

Moments for multi-dimensional Mandelbrot's cascades

Chunmao Huang

We consider the distributional equation $Z = d \sum_{k = 1}^{N} A_{k} Z (k)$ , where $N$ is a random variable taking value in $\mathbb N_0=\{0,1,\cdots\…

math.PR2013

Weak law of large numbers for some Markov chains along non homogeneous genealogies

Vincent Bansaye, Chunmao Huang

We consider a population with non-overlapping generations, whose size goes to infinity. It is described by a discrete genealogy which may be time non-homogeneous and we pay special…

math.PR2010★ 36 cited

Convergence in $L^{p}$ and its exponential rate for a branching process in a random environment

Chunmao Huang, Quansheng Liu

We consider a supercritical branching process $(Z_{n})$ in a random environment $ξ$ . Let $W$ be the limit of the normalized population size $W_{n} = Z_{n} / E [Z_{n} ∣ ξ]$ . We first show a necess…

math.PR2010★ 2 cited

Convergence rates for a branching process in a random environment

Chunmao Huang, Quansheng Liu

Let $(Z_{n})$ be a supercritical branching process in a random environment $ξ$ . We study the convergence rates of the martingale $W_{n} = Z_{n} / E [Z_{n} ∣ ξ]$ to its limit $W$ . The followin…

math.PR2010★ 1 cited

Moments, moderate and large deviations for a branching process in a random environment

Chunmao Huang, Quansheng Liu

Let $(Z_{n})$ be a supercritical branching process in a random environment $ξ$ , and $W$ be the limit of the normalized population size $Z_{n} / E [Z_{n} ∣ ξ]$ . We show large an…

Central limit theorem and Berry-Esseen bounds for a branching random walk with immigration in a random environment

Large and moderate deviations for a Rd-valued branching random walk with a random environment in time

Convergence of martingale and moderate deviations for a branching random walk with a random environment in time

Moments for multi-dimensional Mandelbrot's cascades

Weak law of large numbers for some Markov chains along non homogeneous genealogies

Convergence in Lp and its exponential rate for a branching process in a random environment

Convergence rates for a branching process in a random environment

Moments, moderate and large deviations for a branching process in a random environment

Large and moderate deviations for a $R^{d}$ -valued branching random walk with a random environment in time

Convergence in $L^{p}$ and its exponential rate for a branching process in a random environment