SFU Applied & Computational Math Seminar Series: Matias Delgadino

  • Date: 02/17/2023
  • Time: 15:30
Lecturer(s):
Matias Delgadino, UT Austin
Location: 

Simon Fraser University

Topic: 

Phase transitions and log Sobolev inequalities

Description: 

In this talk, we will study the mean field limit of weakly interacting diffusions for confining and interaction potentials that are not necessarily convex. We explore the relationship between the large N limit of the constant in the logarithmic Sobolev inequality (LSI) for the N-particle system, and the presence or absence of phase transitions for the mean field limit. The non-degeneracy of the LSI constant will be shown to have far reaching consequences, especially in the context of uniform-in-time propagation of chaos and the behaviour of equilibrium fluctuations. This will be done by employing techniques from the theory of gradient flows in the 2-Wasserstein distance, specifically the Riemannian calculus on the space of probability measures.

Other Information: 

Location: Online. Join Zoom meeting

Time: 3.30pm Pacific