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

• Date: 2017
• Main Authors: Fomichev, V. V., Фомичев, В. В.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1736
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 behavior as the height of the level tends to infinity.