Shengli Liang

most citedRandom walks in time-inhomogeneous random environment conditioned to stay positive

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

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2023

Conditional central limit theorem for critical branching random walk

Wenming Hong, Shengli Liang

Consider a critical branching random walk on $R$ . Let $Z^{(n)} (A)$ be the number of individuals in the $n$ -th generation located in $A \in B (R)$ and $Z_{…

math.PR2023

Convergence of the derivative martingale for the branching random walk in time-inhomogeneous random environment

Wenming Hong, Shengli Liang

Consider a branching random walk on the real line with a random environment in time (BRWRE). A necessary and sufficient condition for the non-triviality of the limit of the derivat…

math.PR2022★ 1 cited

Random walks in time-inhomogeneous random environment conditioned to stay positive

Wenming Hong, Shengli Liang

We consider a random walk ${S_{n}}_{n \in N}$ in time-inhomogeneous random environment $ξ$ . For almost each realization of $ξ$ , we formulate a quenched harmonic function, b…