A \((2+1)\)-dimensional growth process with explicit stationary measures

DOI10.1214/16-AOP1128zbMath1383.82031arXiv1503.05339MaRDI QIDQ1681595

Fabio Lucio Toninelli

Publication date: 24 November 2017

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05339

zbMATH Keywords

interacting particle systeminterface growthHammersley processanisotropic KPZ equationLozenge and domino tilings

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Combinatorial aspects of tessellation and tiling problems (05B45) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) PDEs in connection with statistical mechanics (35Q82)

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