A 2d growth model in the anisotropic KPZ class
Apparaît également dans la collection : ECM 2024 Plenary Speakers
Dimer models provide natural models of (2+1)-dimensional random discrete interfaces and of stochastic interface dynamics. I will discuss two examples of such dynamics, a reversible one and a driven one (growth process). In both cases we can prove the convergence of the stochastic interface evolution to a deterministic PDE after suitable (diffusive or hyperbolic respectively in the two cases) space-time rescaling. Based on joint work with B. Laslier and M. Legras.