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We introduce a four-parameter family of interacting particle systems on the line which can be diagonalized explicitly via a complete set of Bethe ansatz eigenfunctions, and which enjoy certain Markov dualities.
Markov Duality for Stochastic Six Vertex Model
Y. Lin · 1901
Earlier work this paper cites.
The Residual Entropy of Square Ice
E.H. Lieb · 1967
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Markov Functions
L. C. G. Rogers and J. W. Pitman · 1981
Earlier work this paper cites.
Exact solution of the integrable XXZ Heisenberg model with arbitrary spin. I. The ground state and the excitation spectrum
A.N. Kirillov and N.Y. Reshetikhin · 1987
Earlier work this paper cites.
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Earlier work this paper cites.
How Algebraic Bethe Ansatz works for integrable model
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L. Bertini and G. Giacomin · 1997
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G.M. Schütz · 1997
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Brownian analogues of Burke’s theorem
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Lectures on the integrability of the 6-vertex model
N. Reshetikhin · 2008
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Asymptotics in ASEP with step initial condition
C. Tracy and H. Widom · 2009
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Exact height distributions for the KPZ equation with narrow wedge initial condition
T. Sasamoto and H. Spohn · 2010
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G. Amir, I. Corwin, and J. Quastel · 2011
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Current moments of 1D ASEP by duality
T. Imamura and T. Sasamoto · 2011
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Integral formulas for the asymmetric simple exclusion process
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Directed polymers and the quantum Toda lattice
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Height fluctuations for the stationary KPZ equation
A. Borodin, I. Corwin, P. Ferrari, and B. Veto · 2015
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The q-pushASEP: A new integrable model for traffic in 1+1 dimension
I. Corwin and L. Petrov · 2015
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The strict-weak lattice polymer
I. Corwin, T. Seppäläinen, and H. Shen · 2015
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Tracy-Widom asymptotics for q-TASEP
P. Ferrari and B. Veto · 2015
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Tracy-Widom asymptotics for a random polymer model with gamma-distributed weights
N. O’Connell and J. Ortmann · 2015
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Point-interacting Brownian motions in the KPZ universality class
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Tracy–Widom limit of q-Hahn TASEP
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The q q -Hahn asymmetric exclusion process
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On a family of symmetric rational functions
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