Dear colleagues,
We are happy to announce the following *hybrid* - that is, in person with online streaming - talk:
Speaker: *Jean-Dominique Deuschel* (TU Berlin) *Title: *An isomorphism theorem for Ginzburg-Landau interface models and scaling limits. (See Abstract below.)
*Date and Time:* Thursday May 4, 16:30-17:30 (Rome time zone).
Place: *Aula 3014, Dip. di Matematica e Applicazioni, Univ. di Milano-Bicocca*, Via R. Cozzi 55, Milano.
*Webex link:* https://unimib.webex.com/unimib-it/j.php?MTID=mc07da73e64ea2eb0da78975bc808f... *Meeting number:* 2741 491 0178*Password: *HPxNQASR579 (47967277 for phones) %%%%%%%%%% *Abstract: *We introduce a natural measure on bi-infinite random walk trajectories evolving in a time-dependent environment driven by the Langevin dynamics associated with 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 - generically - is not Gaussian. In the quadratic case, we recover a well-known generalization of the second Ray-Knight theorem. We further determine the scaling limits of the various objects involved in dimension 3, which are seen to exhibit homogenization. In particular, we prove that the renormalized square of the gradient field converges under appropriate rescaling to the Wick-ordered square of a Gaussian free field on R^3 with suitable diffusion matrix, thus extending a celebrated result of Naddaf and Spencer regarding the scaling limit of the field itself. (Based on joint work with Pierre-François Rodriguez.) %%%%%%%%%%%
This talk is part of the *(PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics* organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico.
Participation is free and welcome!
Best regards The organizers (Carlo Orrieri, Maurizia Rossi, Margherita Zanella)