54 citations · 128 across the 6 of their papers we have counts for
7 papers
Stochastic matrix for
Atsuo Kuniba, Vladimir V. Mangazeev, Shouya Maruyama +1
We show that the quantum matrix for symmetric tensor representations of satisfies the sum rule required for its stochastic interpretation under a suitable gaug…
Inhomogeneous generalization of multispecies totally asymmetric zero range process
Atsuo Kuniba, Shouya Maruyama, Masato Okado
The -species totally asymmetric zero range process (-TAZRP) on one-dimensional periodic chain studied recently by the authors is a continuous time Markov process where arbitr…
Multispecies totally asymmetric zero range process: II. Hat relation and tetrahedron equation
Atsuo Kuniba, Shouya Maruyama, Masato Okado
We consider a three-dimensional (3D) lattice model associated with the intertwiner of the quantized coordinate ring , and introduce a family of layer to layer transfer m…
Multispecies totally asymmetric zero range process: I. Multiline process and combinatorial
Atsuo Kuniba, Shouya Maruyama, Masato Okado
We introduce an -species totally asymmetric zero range process (-TAZRP) on one-dimensional periodic lattice with sites. It is a continuous time Markov process in which $n…
Multispecies TASEP and the tetrahedron equation
Atsuo Kuniba, Shouya Maruyama, Masato Okado
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 -oscillator valued six-vert…
Multispecies TASEP and combinatorial
Atsuo Kuniba, Shouya Maruyama, Masato Okado
We identify the algorithm for constructing steady states of the -species totally asymmetric simple exclusion process (TASEP) on site periodic chain by Ferrari and Martin wit…