The transition probability of the \(q\)-TAZRP (\(q\)-bosons) with inhomogeneous jump rates

DOI10.3842/SIGMA.2016.037zbMath1338.82020arXiv1512.01612OpenAlexW2192473316MaRDI QIDQ274874

David Waugh, Dong Wang

Publication date: 25 April 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01612

zbMATH Keywords

Bethe ansatzinteracting particle systemstransition probabilityzero range process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Exactly solvable models; Bethe ansatz (82B23) Transition functions, generators and resolvents (60J35)

Related Items (9)

Asymptotics of free fermions in a quadratic well at finite temperature and the Moshe-Neuberger-Shapiro random matrix model ⋮ Some conditional probabilities in the TASEP with second class particles ⋮ Integral formulas of ASEP and \(q\)-TAZRP on a ring ⋮ On the TASEP with second class particles ⋮ Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process ⋮ Probability distributions of multi-species \(q\)-TAZRP and ASEP as double cosets of parabolic subgroups ⋮ Higher spin six vertex model and symmetric rational functions ⋮ Distributions of a particle's position and their asymptotics in the \(q\)-deformed totally asymmetric zero range process with site dependent jumping rates ⋮ Determinantal structures in space-inhomogeneous dynamics on interlacing arrays

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