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We prove a intertwining relation (or Markov duality) between the $(q,\mu,\nu)$-Boson process and $(q,\mu,\nu)$-TASEP, two discrete time Markov chains introduced by Povolotsky.
Zur Theorie der Metalle. I. Eigenwerte und Eigenfunktionen der linearen Atomkette. (On the theory of metals. I. Eigenvalues and eigenfunctions of the linear atom chain)
H. Bethe · 1931
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Dynamics of integrable quantum systems
V. I. Yudson · 1985
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Basic hypergeometric series
G. Gaspar, M. Rahman · 1990
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Exact results for one-dimensional totally asymmetric diffusion models
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Free energy fluctuations for directed polymers in random media in 1 + 1 1+1 dimension
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Height fluctuations for the stationary KPZ equation
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Observables of Macdonald processes
A. Borodin, I. Corwin, V. Gorin, S. Shakirov
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Spectral theory for the q q -Boson particle system
A. Borodin, I. Corwin, L. Petrov, T. Sasamoto
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From duality to determinants for q q -TASEP and ASEP
A. Borodin, I. Corwin, T. Sasamoto
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Tracy-Widom asymptotics for q-TASEP
P. L. Ferrari, B. Vető
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In preparation
G. Moreno Flores, J. Quastel, D. Remenik
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Microscopic concavity and fluctuation bounds in a class of deposition processes
M. Balázs, J. Komjáthy, T. Seppäläinen · 2012
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The Kardar-Parisi-Zhang equation and universality class
I. Corwin · 2012
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On integrability of zero-range chipping models with factorized steady state
A.M. Povolotsky · 2013
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