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"Homogenization of a reflecting barrier Brownian motion in a continuum percolation cluster in R^d",

Kodai Math, J.17 (1994), no.2, pp.228-245.

A continuum percolation model in R^d (d>=2), which is called the Poisson blob model, is considered. A central limit theorem is proven for a reflecting Brownian motion in an unbounded occupied cluster of the model in the supercritical case. For an unbounded vacant cluster of the model, the same result is obtained in the subcritical case.