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.
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.
|Full text:||(AM) Accepted Manuscript|
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|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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