CMX Lunch Seminar

In this talk, I will share how gradient flows driven by the Boltzmann entropy in the Hellinger-Kantorovich geometry can induce gradient structures within a restricted class of Gaussian distributions. I will also discuss how the system converges to equilibrium, the type of convexity properties it exhibits, and how the decay rates can be sharpened by estimating the evolution of the covariance. If time permits, I will briefly address how some of these ideas extend to non-Gaussian settings.