时间—空间随机环境中1维紧邻随机游动首达时分布性质

On the First-arrival Time Series of One-dimensional Nearest-neighbor Random Walks in a Space-time Random Environments

讨论时间-空间随机环境下1维紧邻随机游动.对应随机环境的分布Q的性质,首达时{Tn}n≥0分别有严平稳、独立同分布性质,并计算出首达时差序列{τn}n≥1的数学期望.

On one-dimensional nearest-neighbour random walks in a space-time random environment are discussed. It is proved that first-arrival time series is a stationary, i.i.d. series corresponding to stationary, and i.i.d. distribution of the random environment.