Abstract
A random walk with obstacles in $\mathbf{R}^d, d \geq 2$, is considered. A probability measure is put on a space of obstacles, giving a random walk with random obstacles. A central limit theorem is then proven for this process when the obstacles are distributed by a Gibbs state with sufficiently low activity. The same problem is treated for a tagged particle of an infinite hard core particle system.
Citation
Hideki Tanemura. "Central Limit Theorem for a Random Walk with Random Obstacles in $\mathrm{R}^d$." Ann. Probab. 21 (2) 936 - 960, April, 1993. https://doi.org/10.1214/aop/1176989276
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