Limit shapes and local statistics for the stochastic six-vertex model

DOI10.1007/s00220-019-03643-wzbMath1445.60070arXiv1902.10867OpenAlexW3100273296MaRDI QIDQ2181991

Amol Aggarwal

Publication date: 20 May 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10867

zbMATH Keywords

entropyGibbs measure

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

Local geometry of the rough-smooth interface in the two-periodic Aztec diamond ⋮ Arctic curves of the 6V model with partial DWBC and double Aztec rectangles ⋮ Stationary measure for six-vertex model on a strip ⋮ Nonexistence and uniqueness for pure states of ferroelectric six‐vertex models ⋮ Classification of stationary distributions for the stochastic vertex models ⋮ GOE fluctuations for the maximum of the top path in alternating sign matrices ⋮ Strong law of large numbers for the stochastic six vertex model ⋮ Irreversible Markov dynamics and hydrodynamics for KPZ states in the stochastic six vertex model ⋮ Color-position symmetry in interacting particle systems ⋮ Stochastic eight-vertex model, its invariant measures and KPZ limit

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