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

V. V. Fomichov

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arXiv · 1704.00309

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

V. V. Fomichov

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Abstract

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

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V. V. Fomichov. 2017-04-02. The level-crossing intensity for the density of the image of the Lebesgue measure under the action of a Brownian stochastic flow. https://arxiv.org/abs/1704.00309

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