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Modified Arratia flow and Wasserstein diffusion

  • Vitali Konarovskyi (MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)

Abstract

An interacting particle system on the real line which is a generalization of the Arratia flow will be considered. We will suppose that particles start from all points of a finite interval, move independently up to the moment of the collision then coalesce and move together. Every particle has a mass influencing on the diffusion and obeying the mass conservation. We will discuss construction of the stochastic flow describing the evolution of such a system as a thermodynamic limit. Also, uniqueness of distribution of such a flow as a solution of a martingale problem, properties of filtration generated by the flow, the large deviation principle and connection with the Wasserstein diffusion will be presented.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher