Speed and fluctuations for some driven dimer models

DOI10.4171/AIHPD/77zbMath1431.05036arXiv1705.07641MaRDI QIDQ2286572

Sunil Chhita, Fabio Lucio Toninelli, Patrik Lino Ferrari

Publication date: 22 January 2020

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07641

zbMATH Keywords

random tilingsinteracting particle systemsrandom surfacesdeterminantal processeslimit shapesKasteleyn matrices

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial aspects of tessellation and tiling problems (05B45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Cites Work

• Anisotropic growth of random surfaces in \({2+1}\) dimensions
• Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model
• A combinatorial identity for the speed of growth in an anisotropic KPZ model
• Gibbs ensembles of nonintersecting paths
• The shape of a typical boxed plane partition
• Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes
• Asymptotic domino statistics in the Aztec diamond
• Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure