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- W2254603272 abstract "We introduce a family of layer to layer transfer matrices in a three-dimensional (3D) lattice model which can be viewed as partition functions of the $q$-oscillator valued six-vertex model on $m times n$ square lattice. By invoking the tetrahedron equation we establish their commutativity and bilinear relations mixing various boundary conditions. At $q=0$ and $m=n$, they ultimately yield a new proof of the steady state formula for the $n$-species totally asymmetric simple exclusion process (TASEP) obtained recently by the authors, revealing the 3D integrability in the matrix product construction." @default.
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- W2254603272 date "2016-02-02" @default.
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- W2254603272 title "Multispecies TASEP and the tetrahedron equation" @default.
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- W2254603272 doi "https://doi.org/10.1088/1751-8113/49/11/114001" @default.
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