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Let be a compact, non-polar set in ℝ, ≥3 and let
()={
()+: 0≤≤, ∈} be Wiener sausages associated to independent brownian motions
, =1, 2, 3 starting at 0. The expectation of volume of ⋂=13
() with respect to product measure is obtained in terms of the equilibrium measure of in the limit of large .
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