Higher order fluctuation fields and orthogonal duality polynomials

DOI10.1214/21-EJP586zbMath1469.60300arXiv2004.08412OpenAlexW3157952761MaRDI QIDQ2042818

Mario Ayala, Frank Redig, Gioia Carinci

Publication date: 21 July 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08412

zbMATH Keywords

orthogonal polynomialsself-dualityfluctuation fieldshigher-order fields

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (6)

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 ⋮ Orthogonal intertwiners for infinite particle systems in the continuum ⋮ Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ \(q\)-orthogonal dualities for asymmetric particle systems ⋮ Orthogonal polynomial stochastic duality functions for multi-species SEP \((2j)\) and multi-species IRW ⋮ Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations

Cites Work

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• Quantitative Boltzmann-Gibbs principles via orthogonal polynomial duality
• A limit theorem for quadratic fluctuations in symmetric simple exclusion
• Non-equilibrium fluctuations for a zero range process
• Invariant measures for the zero range process
• Mathematical methods for hydrodynamic limits
• Factorized duality, stationary product measures and generating functions
• An infinite dimensional umbral calculus
• Stochastic Duality and Orthogonal Polynomials
• Quadratic Fluctuations of the Simple Exclusion Process

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