Speed and fluctuations for some driven dimer models
Probability
2020-03-25 v2
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.
Keywords
Cite
@article{arxiv.1705.07641,
title = {Speed and fluctuations for some driven dimer models},
author = {Sunil Chhita and Patrik L. Ferrari and Fabio Lucio Toninelli},
journal= {arXiv preprint arXiv:1705.07641},
year = {2020}
}
Comments
40 pages, 10 figures; v2: added section 2.4