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"Central limit theorem for a random walk with random obstacles in R^d",

Ann. Probab. 21 (1993), no.2, pp.936-960.

A random walk with obstacles in R^d (d>=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.