14 citations · 17 across the 8 of their papers we have counts for
8 papers · 1 filter
Asymptotic behavior for the quenched survival probability of a supercritical branching random walk in random environment with a barrier
You Lv, Wenming Hong
We introduce a random barrier to a supercritical branching random walk in an i.i.d. random environment indexed by time i.e., in each generation, only the i…
Conditional central limit theorem for critical branching random walk
Wenming Hong, Shengli Liang
Consider a critical branching random walk on . Let be the number of individuals in the -th generation located in and $Z_{…
Weak Quenched Invariance Principle for Random Walk with Random Environment in Time
You Lv, Wenming Hong
Consider the invariance principle for a random walk with random environment (denoted by ) in time on $\bfR$ in a weak quenched sense. We show that a sequence of the random proba…
Scaling limit theorems for the -transient random walk in random and non-random environment
Wenming Hong, Hui Yang
Kesten et al.( 1975) proved the stable law for the transient RWRE (here we refer it as the -transient RWRE). After that, some similar interesting properties have also been revea…
Scaling limit of the local time of the Sinai's random walk
Wenming Hong, Hui Yang, Ke Zhou
We prove that the local times of a sequence of Sinai's random walks convergence to those of Brox's diffusion by proper scaling, which is accord with the result of Seignourel (2000)…
Branching structure for the transient random walk on a strip in a random environment
Wenming Hong, Meijuan Zhang
An intrinsic branching structure within the transient random walk on a strip in a random environment is revealed. As applications, which enables us to express the hitting time expl…