A combinatorial identity for the speed of growth in an anisotropic KPZ model

DOI10.4171/AIHPD/45zbMath1378.05022arXiv1508.01665OpenAlexW2964001354MaRDI QIDQ679657

Sunil Chhita, Patrik Lino Ferrari

Publication date: 19 January 2018

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/1508.01665

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) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Combinatorial aspects of tessellation and tiling problems (05B45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Hydrodynamic limit equation for a lozenge tiling Glauber dynamics ⋮ Lozenge tiling dynamics and convergence to the hydrodynamic equation ⋮ Irreversible Markov dynamics and hydrodynamics for KPZ states in the stochastic six vertex model ⋮ A $(2+1)$-dimensional anisotropic KPZ growth model with a smooth phase ⋮ Speed and fluctuations for some driven dimer models ⋮ Determinantal structures in space-inhomogeneous dynamics on interlacing arrays ⋮ Hydrodynamic limit for a 2D interlaced particle process

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