7 citations · 21 across the 5 of their papers we have counts for
5 papers
Representation theoretic interpretation and interpolation properties of inhomogeneous spin -Whittaker polynomials
Sergei Korotkikh
We establish new properties of inhomogeneous spin -Whittaker polynomials, which are symmetric polynomials generalizing Macdonald polynomials. We show that these polynomial…
Hidden diagonal integrability of -Hahn vertex model and Beta polymer model
Sergei Korotkikh
We study a new integrable probabilistic system, defined in terms of a stochastic colored vertex model on a square lattice. The main distinctive feature of our model is a new family…
Inhomogeneous spin -Whittaker polynomials
Alexei Borodin, Sergei Korotkikh
We introduce and study an inhomogeneous generalization of the spin -Whittaker polynomials from [Borodin,Wheeler-17]. These are symmetric polynomials, and we prove a branching ru…
Observables of stochastic colored vertex models and local relation
Alexey Bufetov, Sergei Korotkikh
We study the stochastic colored six vertex (SC6V) model and its fusion. Our main result is an integral expression for natural observables of this model -- joint q-moments of height…
Transition functions of diffusion processes with the Jack parameter on the Thoma simplex
Sergei Korotkikh
The paper deals with a three-dimensional family of diffusion processes on an infinite-dimensional simplex. These processes were constructed by Borodin and Olshanski (arXiv:0706.103…