一维紧邻时间随机环境下可逗留随机游动的有关性质

Some Properties for One-dimensional Nearest-neighbor Random Walks in Time-Random Environments

给出了可数状态空间中时间随机环境下可逗留随机游动的一个统一模型,对于一维紧邻时间随机环境下的随机游动,在一定的条件下,讨论它的极限性质和中心极限定理,该结论类似于空间随机环境下的随机游动的有关结论.

A general model of random walk in time-random environments in any denumerable space is given in this paper,in the case of one-dimensional nearest-neighbor random walk,we derive limit theorem and a center limit theorem of this random walk under some conditions,which are similar to the corresponding results in the case of classical random walk.