Chhita, Sunil and Ferrari, Patrik and Toninelli, Fabio (2019) 'Speed and fluctuations for some driven dimer models.', Annales de l’Institut Henri Poincaré D., 6 (4). pp. 489-532.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (699Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.4171/AIHPD/77 |
| Date accepted: | 26 February 2018 |
| Date deposited: | 12 March 2018 |
| Date of first online publication: | 04 September 2019 |
| Date first made open access: | 04 September 2020 |
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