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The study of random walk in random evolving environment has attracted much attention lately. The basic idea is that, due to the time mixing properties of the environment, the CLT should hold in any ...
Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions。
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS.
An Application of Harnack Inequalitise to Random Walk on Nilpotent Quotients。
In this paper, we reveal the branching structure for a non-homogeneous random walk with bounded jumps. The ladder time T1, the first hitting time of [1,∞) by the walk starting from 0, could be expres...
all ( ,F1,P,X,F) the canonical space for the standard random walk on Z. Thus, denotes the set of paths  : N ! Z such that |(n + 1) − (n)| = 1, X = (Xn, n  0) is the canonical coordinate proc...
The following random process on Z4 is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is the last two coordinates ...
We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the reaction term of the re...
In this study, the semi-Markovian random walk with a special barrier (X(t)) is considered and under some weak assumptions the ergodicity of this process is discussed. Moreover, the characteristic func...
In this paper, a semi-Markovian random walk process X(t) with reflecting barrier on the zero-level and delaying barrier on the b(b>0 )-level and the first falling moment of the process into the delayi...
In this study, a semi-Markovian random walk with delaying screen at (b > O and the first crossing time ('g1) of the zero level of this process are constructed. Furthermore, the distribution function w...

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