Quansheng Liu

activity

20082022

most citedExponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in random environment

70 citations · 207 across the 35 of their papers we have counts for

collaborators

Showing 2010Show all

4 papers · 1 filter

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

Weighted moments of the limit of a branching process in a random environment

Xingang Liang, Quansheng Liu

Let $(Z_{n})$ be a supercritical branching process in a random environment , and $W$ be the limit of the normalized population size $Z_n/\mathbb{E%}(Z_n|ζ)$. We show necessary a…

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…

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

Weighted moments of the limit of a branching process in a random environment

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

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