Orthogonal polynomial duality of a two-species asymmetric exclusion process

DOI10.1007/s10955-023-03100-yarXiv2209.11114MaRDI QIDQ6110772

Sasha Ustilovsky, Danyil Blyschak, Jeffrey Kuan, Zhengye Zhou, Olivia Burke, Dennis Li

Publication date: 6 July 2023

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

Full work available at URL: https://arxiv.org/abs/2209.11114

zbMATH Keywords

orthogonal polynomialsquantum groupsexclusionMarkov duality

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

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

Cites Work

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• Stochastic duality of ASEP with two particle types via symmetry of quantum groups of rank two
• A Multi-species ASEP $\boldsymbol{(q,\,j)}$ and $\boldsymbol{q}$-TAZRP with Stochastic Duality

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