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Speed and fluctuations for some driven dimer models

Sunil Chhita, Patrik L. Ferrari, Fabio L. Toninelli

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Source: Crossref

Published: Sep 4, 2019

DOI: 10.4171/aihpd/77

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Source 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.

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Speed and fluctuations for some driven dimer models — Mathematical Frontier Network