S. Chhita, P.L. Ferrari and F.L. Toninelli Speed and fluctuations for some driven dimer models preprint: arXiv:1705.07641 2017 https://arxiv.org/abs/1705.07641
Abstract: 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 fluctuations.