We consider a fully inhomogeneous stochastic higher spin six vertex model in a quadrant.
For this model we derive concise integral representations for multi-point q-moments of the …

Relations between quantum integrable models solvable by the quantum inverse scattering
method and some aspects of enumerative combinatorics and partition theory are discussed …

Several types of totally asymmetric diffusion models with and without exclusion are
considered. For some models, conditional probabilities of finding N particles on lattice sites …

2.2 Vertex weights 2.3 The Yang–Baxter equation 2.4 Symmetric rational functions 2.5
Stochastic weights and fusion 2.6 Markov kernels and stochastic dynamics 2.7 Orthogonality …

The correlation functions for a strongly correlated exactly solvable one-dimensional boson
system on a finite chain as well as in the thermodynamic limit are calculated explicitly. This …

The purpose of this paper is to show that the quantum inverse scattering method for the so-
called q-boson model has a nice interpretation in terms of the algebra of symmetric …

Plane partitions naturally appear in many problems of statistical physics and quantum field
theory, for instance, in the theory of faceted crystals and of topological strings on Calabi–Yau …

We develop spectral theory for the generator of the-Boson results to a discrete delta Bose
gas considered previously by van Diejen, as well as to another discrete delta Bose gas that …

Integrable probability has emerged as an active area of research at the interface of
probability/mathematical physics/statistical mechanics on the one hand, and representation …

In this paper, we consider two different subjects: the algebra of universal characters S_ λ, μ
(x, y) S λ, μ (x, y)(a generalization of Schur functions) and the phase model of strongly …