Probability Seminar: An isomorphism theorem anharmonic fields and scaling limits
Mar 22, 2023, 03:10 PM - 04:00 PM | 340 Evans Hall | Happening As Scheduled
Jean-Dominique Deuschel, Technische Universität Berlin
We introduce a natural measure on bi-infinite random walk trajectories
evolving in a time-dependent environment driven by the Langevin dynamics associated to a gradient Gibbs measure with convex potential. We derive an identity relating the occupation times of the Poissonian cloud induced by this measure to the square of the corresponding gradient field, which is not Gaussian. In the quadratic...