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On the volume of the intersection of two Wiener sausages

On the volume of the intersection of two Wiener sausages

For a > 0, let W a 1 (t) and W a 2 (t) be the a-neighbourhoods of two independent standard Brownian motions in R d starting at 0 and observed until time t.We prove that, for d ≥ 3 and c > 0,and derive a variational representation for the …