Benoit Laslier (Cambridge)

Titolo: Stochastic dynamics of discrete interfaces and dimer models.

Mercoledi' 05 Novembre 2014 ORE 15:30

Dipartimento di Matematica e Fisica Universita' degli Studi Roma Tre AULA 311 (SEMINARI) Largo San L. Murialdo,1

Abstract We will study some effective models, called dimer models, for the interface between two coexisting thermodynamical phases in three dimension. We will show in a relatively general context that the time needed for the system to reach equilibrium is of order L^(2+o(1)), where L is the typical length scale of the system. The exponent 2 is optimal. More precisely, for surfaces attached to a curve drawn in some plane, we will control the mixing time for lozenge tilings and domino tilings (and a few other related models). For surfaces attached to a general curve, we will only work with lozenges and use a weaker notion of "macroscopic" convergence.