随机环境中非紧邻随机游动的存在性

Existence for Non Nearest Neighbor Random Walk in Random Environment

利用单调类定理和测度扩张理论研究了非负整数集上的随机环境中非紧邻随机游动,证明了这种模型的存在性.

In this paper,the monotone classes theorem and the theory of extension of measure are used to study the non nearest neighbor random walk in random environment on integers.Proof of the existence of such model is given.