Speed and fluctuations for some driven dimer models

Sunil Chhita (1) , P.L. Ferrari (2) , Fabio Lucio Toninelli (3)

1 Durham University
2 Universität Bonn = University of Bonn
3 PSPM - Probabilités, statistique, physique mathématique

We consider driven dimer models on the square and honeycomb graphs, starting from a stationary Gibbs measure. Each model can be thought of as a two dimensional stochastic growth model of an interface, belonging to the anisotropic KPZ universality class. We use a combinatorial approach to determine the speed of growth and show logarithmic growth in time of the variance of the height function.

Domaines: Probabilités [math.PR]

Sunil Chhita, P.L. Ferrari, Fabio Lucio Toninelli. Speed and fluctuations for some driven dimer models. Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2019, 6 (4), pp.489-532. ⟨10.4171/AIHPD/77⟩. ⟨hal-01526372⟩