时间: 4月11日14:00-16:30
地点: 数学楼第二学术报告厅
报告人:V. Konarovskyi
报告人简介：V. Konarovskyi博士是德国莱比锡大学数学系博士后研究员。
Title: “Particle models for Wasserstein type diffusion”.
Abstract: The discussion will be devoted to a family of interacting particles on the real line which have a connection with the geometry of Wasserstein space of probability measures. We will consider a physical improvement of a classical Arratia flow, but now particles can split up and they transfer a mass that influences their motion. The particle system can be also interpreted as an infinite dimensional version of sticky reflecting dynamics on a simplicial complex. The model appears as a martingale solution to an infinite dimensional SDE with discontinuous coefficients. In the talk, I am going to consider a reversible case, where the construction is based on a new family of measures on the set of real non-decreasing functions as reference measures for naturally associated Dirichlet forms. In this case, the intrinsic metric leads to a Varadhan formula for the short time asymptotics with the Wasserstein metric for the associated measure valued diffusion. The talk is based on joint work with Max von Renesse.
