Wednesday, December 8, 2021 - 14:00 in ZOOM - Video Conference
A particle model for Wasserstein type diffusion
A talk in the Bielefeld Stochastic Afternoon series by
Vitalii Konarovskyi
| Abstract: |
This talk will be held via Zoom (for details email stochana(at)math.uni-bielefeld.de).
The talk is devoted to a new infinite system of sticky-reflected diffusion particles which transfer a mass that influences their motion. The construction of the particle system is based on the introduction and analysis of a fundamentally new family of equilibrium measures for the associated dynamics and their Dirichlet forms. We will identify the intrinsic metric as the quadratic Wasserstein distance, which makes the model a second non-trivial example of Wasserstein diffusion. We will also show that the associated measure-valued process provides a weak solution of a corrected Dean-Kawasaki equation for particle density in the Langevin dynamics.
Within the CRC this talk is associated to the project(s): B8 |
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