Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations

DOI10.1214/21-AIHP1163zbMath1491.60176arXiv2007.08272OpenAlexW4226327288MaRDI QIDQ2078016

Simone Floreani, Frank Redig, Federico Sau

Publication date: 25 February 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08272

zbMATH Keywords

dualityinteracting particle systemssymmetric exclusion processboundary driven systemsnon-equilibrium stationary measuresymmetric inclusion processnon-equilibrium stationary correlationsorthogonal polynomial duality

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (7)

Exact solution of an integrable non-equilibrium particle system ⋮ Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics ⋮ Integrable heat conduction model ⋮ Orthogonal polynomial duality and unitary symmetries of multi-species ASEP \((q,\boldsymbol{\theta})\) and higher-spin vertex models via \(^*\)-bialgebra structure of higher rank quantum groups ⋮ Hydrodynamical behavior for the symmetric simple partial exclusion with open boundary ⋮ Orthogonal intertwiners for infinite particle systems in the continuum ⋮ Duality for a boundary driven asymmetric model of energy transport

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