Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process

DOI10.1215/00127094-2018-0019zbMath1434.60270arXiv1704.04309OpenAlexW3100414275MaRDI QIDQ1615254

Michael Wheeler, Ivan Corwin, Guillaume Barraquand, Alexei Borodin

Publication date: 2 November 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04309

zbMATH Keywords

Yang-Baxter equationinteracting particle systemsasymmetric simple exclusion processKardar-Parisi-Zhang universality classsix-vertex modelMacdonald symmetric functionsintegrable probability

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Exactly solvable models; Bethe ansatz (82B23) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (36)

Pfaffian Schur processes and last passage percolation in a half-quadrant ⋮ Multi-point distribution of discrete time periodic TASEP ⋮ Algebraic symmetry and self-duality of an open ASEP ⋮ The free boundary Schur process and applications. I ⋮ Nonsymmetric Macdonald polynomials via integrable vertex models ⋮ Positive random walks and an identity for half-space SPDEs ⋮ Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case ⋮ Stochastic symplectic ice ⋮ Exact lower-tail large deviations of the KPZ equation ⋮ Half-space stationary Kardar-Parisi-Zhang equation ⋮ Intermediate disorder regime for half-space directed polymers ⋮ Periodic TASEP with general initial conditions ⋮ Lower tail of the KPZ equation ⋮ The half-space Airy stat process ⋮ Stochastic PDE limit of the six vertex model ⋮ Limit shapes and local statistics for the stochastic six-vertex model ⋮ Stationary half-space last passage percolation ⋮ A stochastic telegraph equation from the six-vertex model ⋮ Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials ⋮ KPZ limit theorems ⋮ Stationary measure for six-vertex model on a strip ⋮ Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation ⋮ New approach to KPZ models through free fermions at positive temperature ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space ⋮ Boundary current fluctuations for the half‐space ASEP and six‐vertex model ⋮ Random walk on nonnegative integers in beta distributed random environment ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Refined Littlewood identity for spin Hall-Littlewood symmetric rational functions ⋮ Stochastic telegraph equation limit for the stochastic six vertex model ⋮ The KPZ limit of ASEP with boundary ⋮ Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions ⋮ The lower tail of the half-space KPZ equation ⋮ Lyapunov exponents of the half-line SHE ⋮ Boundary matrices for the higher spin six vertex model ⋮ Correlation functions of the Pfaffian Schur process using Macdonald difference operators ⋮ YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS

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