We establish a small deviation principle for random walk with random environment in time,where the time-space scaling can be logarithm rate.The classic small deviation principle(for i.i.d.random walk)in Mogul'skiĭ(1974)included all slow growth scaling,while Lv&Hong provided the small deviation principle for random walk with random environment in time under the assumption that the scaling can not slower than power rate.Therefore,in this paper,we fill this gap in some extent.
关键词
随机环境随机游动/小偏差/独立随机变量序列和
Key words
random walk with random environment in time/small deviation probability/partial sums of independent random variables
维普
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