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=mc07da73e64ea2eb0da78975bc808f3db

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.)

%%%%%%%%%%%