Xingang Liang

activity

20102026

collaborators

Showing math.PRShow all

2 papers · 1 filter

math.PR2019

On $L^{p}$ -convergence of the Biggins martingale with complex parameter

Alexander Iksanov, Xingang Liang, Quansheng Liu

We prove necessary and sufficient conditions for the $L^{p}$ -convergence, $p > 1$ , of the Biggins martingale with complex parameter in the supercritical branching random walk. The resu…

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…

On Lp-convergence of the Biggins martingale with complex parameter

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

On $L^{p}$ -convergence of the Biggins martingale with complex parameter