Andrey Dorogovtsev (Kiev)

will speak on

Intermittency of local times and geometry of mass distribution in stochastic flow

Time: 3:00PM
Date: Wed 7th April 2021
Location: Online [map]

Abstract: In this talk we consider motion of the random curve in the space. For description of such motion we use the stochastic differential equation with interaction. Such equation allows to take into account the action of external forces on the parts of the curve and interaction between them. The main question is the changing of the complexity of the curve with time. For nonsmooth random curves like a trajectory of Brownian motion we consider possibility to contain an ordered polygonal line with the long edges and big number of vertices. In these cases the visitation measure for certain images of the curve approximates discrete measures. This can serve as an explanation of the intermittency of its density.

Zoom Link:
https://ucd-ie.zoom.us/j/83491228915?pwd=WWV3ZkNGNzVXdGxLRlR0dkdMYUtMZz09

Meeting ID: 834 9122 8915
Passcode: 698437

(This talk is part of the Probability series.)

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