Geodesic
Integrable Structure of Multispecies Zero Range Process
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic $R$ matrices of quantum affine algebra $U_q\big(A^{(1)}_n\big)$, matrix product construction of stationary states for periodic systems, $q$-boson representation of Zamolodchikov–Faddeev algebra, etc. We also introduce new commuting Markov transfer matrices having a mixed boundary condition and prove the factorization of a family of $R$ matrices associated with the tetrahedron equation and generalized quantum groups at a special point of the spectral parameter.
Keywords: integrable zero range process; stochastic $R$ matrix; matrix product formula. 
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}
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Atsuo Kuniba; Masato Okado; Satoshi Watanabe. Integrable Structure of Multispecies Zero Range Process. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a43/

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