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Let K be a compact, non-polar set in Rm,m ≥ 3 and let S K (t) = {Bi(s) + y: 0 ≤ s ≤ t, y ∈ K} be Wiener sausages associated to independent Brownian motions Bi, i = 1,2,3 starting at 0. The expectation of volume of ⋂3i=1 S K(t) with respect to product measure is obtained in terms of the equilibrium measure of K in the limit of large t . Résumé. Soit K un ensemble compact, non-polaire dans Rm (m ≥ 3) et soit S K (t) = {Bi(s) + y: 0 ≤ s ≤ t, y ∈ K} des saucisses de Wiener associées à des processus Browniens indépendants Bi, i = 1,2,3 initalisés à 0. L’espérance des volumes de ⋂3i=1 S K(t) par rapport à la mesure produit est obtenue en termes de la mesure d’équilibre de K lorsque t tend vers l’infini. MSC: 35K20; 60J65; 60J45

On the volume of intersection of three independent Wiener sausages