Speed and fluctuations for some driven dimer models

Chhita, Sunil; Ferrari, Patrik; Toninelli, Fabio

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.

Citation

Chhita, S., Ferrari, P., & Toninelli, F. (2019). Speed and fluctuations for some driven dimer models. Annales de l’Institut Henri Poincaré D, 6(4), 489-532. https://doi.org/10.4171/aihpd/77

• Journal Article Type: Article
• Acceptance Date: Feb 26, 2018
• Online Publication Date: Sep 4, 2019
• Publication Date: Sep 4, 2019
• Deposit Date: Mar 9, 2018
• Publicly Available Date: Sep 4, 2020
• Journal: Annales de l’Institut Henri Poincaré D
• Print ISSN: 2308-5827
• Electronic ISSN: 2308-5835
• Publisher: EMS Press
• Peer Reviewed: Peer Reviewed
• Volume: 6
• Issue: 4
• Pages: 489-532
• DOI: https://doi.org/10.4171/aihpd/77
• Public URL: https://durham-repository.worktribe.com/output/1338077