Integral Varadhan Formula for Nonlinear Heat Flow on Measured Finsler Manifolds

Explore a cutting-edge lecture on nonlinear geometric analysis focusing on the integral Varadhan short-time formula for nonlinear heat flow on measured Finsler manifolds. Delve into the probability of particle movement between sets and its relation to distance functions, even in asymmetric cases. Discover how this research extends to nonsmooth settings of infinitesimally strictly convex metric measure spaces with local Sobolev-to-Lipschitz properties. Learn about the collaborative work between Shin-ichi Ohta and Kohei Suzuki, presented as part of the Workshop on "Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension" at the Erwin Schrödinger International Institute for Mathematics and Physics. Gain insights into this 44-minute talk that pushes the boundaries of nonlinear geometric analysis and its applications in probability theory and metric spaces.

Shin-ichi Ohta - Integral Varadhan formula for nonlinear heat flow