Speed and fluctuations for some driven dimer models

Chhita, Sunil; Ferrari, Patrik; Toninelli, Fabio

doi:10.4171/aihpd/77

Speed and fluctuations for some driven dimer models

Chhita, Sunil; Ferrari, Patrik; Toninelli, Fabio

Authors

Professor Sunil Chhita sunil.chhita@durham.ac.uk
Professor

Patrik Ferrari

Fabio Toninelli

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