Limit shapes of the stochastic six vertex model

DOI10.1007/s00220-018-3253-2zbMath1400.82055arXiv1609.01756OpenAlexW2962831990MaRDI QIDQ1795120

Nicolai Reshetikhin, Ananth Sridhar

Publication date: 16 October 2018

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

Full work available at URL: https://arxiv.org/abs/1609.01756

zbMATH Keywords

Burger-type equationstochastic six vertex modelcritical initial densities

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (14)

The two-point correlation function in the six-vertex model ⋮ Stochastic PDE limit of the six vertex model ⋮ Limit shapes and local statistics for the stochastic six-vertex model ⋮ Arctic curves of the four-vertex model ⋮ A stochastic telegraph equation from the six-vertex model ⋮ 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 ⋮ Deducing a variational principle with minimal \textit{a priori} assumptions ⋮ Stochastic telegraph equation limit for the stochastic six vertex model ⋮ Arctic curve of the free-fermion six-vertex model in an L-shaped domain ⋮ Limit shapes for the asymmetric five vertex model ⋮ Color-position symmetry in interacting particle systems ⋮ A variational principle for a non-integrable model

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