Quantitative Relative Entropy Estimates on the Whole Space for Convolution Interaction Forces
Time: 2024-01-22
Published By: He Liu
Speaker(s): Paul Nikolaev (University of Mannheim)
Time: 14:00-15:30 January 23, 2024
Venue: Room 77201, Jingchunyuan 78, BICMR
In this talk, we derive quantitative estimates on the whole space for the relative entropy between the joint law of randomly interacting particles and the tensorized law at the limiting system. We discuss the combination of the relative entropy method and modulated energy under the moderated interaction scaling introduced by Oeschläger, as well as the propagation of chaos in probability. Moreover, we demonstrate the propagation of chaos for large stochastic systems of interacting particles and discuss possible applications to various interacting particle systems, including the Coulomb interaction case.
