Quantitative Boltzmann-Gibbs principles via orthogonal polynomial duality

DOI10.1007/s10955-018-2060-7zbMath1395.82212arXiv1712.08492OpenAlexW3104653123WikidataQ90101445 ScholiaQ90101445MaRDI QIDQ723363

Frank Redig, Mario Ayala, Gioia Carinci

Publication date: 31 July 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08492

zbMATH Keywords

orthogonal polynomialsdualityBoltzmann-Gibbs principlefluctuation field

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting particle systems in time-dependent statistical mechanics (82C22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (7)

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 ⋮ Higher order fluctuation fields and orthogonal duality polynomials ⋮ Orthogonal polynomial stochastic duality functions for multi-species SEP \((2j)\) and multi-species IRW ⋮ Orthogonal dualities of Markov processes and unitary symmetries

Cites Work

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• Equilibrium fluctuations of stochastic particle systems: The role of conserved quantities
• The weakly asymmetric simple exclusion process
• The symmetric simple exclusion process. I: Probability estimates
• Generalized immediate exchange models and their symmetries
• Random Walk: A Modern Introduction

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