Probability and Stochastic Analysis - University of Bonn

Abstract of "Speed and fluctuations for some driven dimer models"

with Sunil Chhita and Fabio Toninelli.

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.

Postscript file: [PS]

PDF file: [PDF]

arXiv: 1705.07641