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In this paper we compute the level-crossing intensity for the density of theimage of the Lebesgue measure under the action of a Brownian stochastic flowwhich is a smooth approximation of the Arratia flow and determine itsasymptotic behaviour as the height of the level tends to infinity.

The level-crossing intensity for the density of the image of the Lebesgue measure under the action of a Brownian stochastic flow