A Multi-species ASEP $\boldsymbol{(q,\,j)}$ and $\boldsymbol{q}$-TAZRP with Stochastic Duality
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Publication:4619436
DOI10.1093/imrn/rnx034zbMath1420.60122arXiv1605.00691OpenAlexW3098177434MaRDI QIDQ4619436
Publication date: 6 February 2019
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.00691
Related Items (19)
Algebraic symmetry and self-duality of an open ASEP ⋮ Coxeter group actions on interacting particle systems ⋮ q-zero range has random walking shocks ⋮ Orthogonal polynomial duality of a two-species asymmetric exclusion process ⋮ Explicit central elements of \(U_q(\mathfrak{gl}(N+1))\) ⋮ 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 ⋮ Markov duality and Bethe ansatz formula for half-line open ASEP ⋮ A reverse duality for the ASEP with open boundaries ⋮ Uphill in reaction-diffusion multi-species interacting particles systems ⋮ Unnamed Item ⋮ Probability distributions of multi-species \(q\)-TAZRP and ASEP as double cosets of parabolic subgroups ⋮ \(q\)-orthogonal dualities for asymmetric particle systems ⋮ An algebraic construction of duality functions for the stochastic \(\mathcal U_q(A_n^{(1)})\) vertex model and its degenerations ⋮ Markov duality for stochastic six vertex model ⋮ KPZ equation limit of stochastic higher spin six vertex model ⋮ Determinantal structures in space-inhomogeneous dynamics on interlacing arrays ⋮ On the Eigenfunctions for the Multi-species <i>q</i>-Boson System ⋮ Orthogonal polynomial stochastic duality functions for multi-species SEP \((2j)\) and multi-species IRW ⋮ A short note on Markov duality in multi-species higher spin stochastic vertex models
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