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Integral formulas of ASEP and $q$-TAZRP on a ring

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arxiv 1905.02987 v2 pith:JHVHGBFU submitted 2019-05-08 math.PR math-phmath.MPnlin.SI

Zhipeng Liu , Axel Saenz , Dong Wang This is my paper · ORCID
classification math.PRmath-phmath.MPnlin.SI
keywords asepasymmetricformulasprocessringtazrpansatzapplying
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the $q$-deformed Totally Asymmetric Zero Range Process ($q$-TAZRP) on the ring by applying the coordinate Bethe ansatz. We also compute the distribution function for a tagged particle with general initial condition.

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  1. Riemann surfaces for KPZ with periodic boundaries

    cond-mat.stat-mech 2019-08 conditional novelty 6.0 of 10

    Known exact finite-volume KPZ fluctuation probabilities are expressed as traces on Riemann surfaces for half-integer polylogarithms, and prior formulas by Prolhac and by Baik and Liu are proved equivalent.

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