Alexandr Garbali

activity

20162026

most citedKoornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

24 citations · 53 across the 11 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.CO2023

Symmetric functions from the six-vertex model in half-space

Alexandr Garbali, Jan de Gier, William Mead +1

We study the stochastic six-vertex model in half-space with generic integrable boundary weights, and define two families of multivariate rational symmetric functions. Using commuta…

math-ph2023

Shuffle algebras, lattice paths and Macdonald functions

Alexandr Garbali, Ajeeth Gunna

We consider partition functions on the $N \times N$ square lattice with the local Boltzmann weights given by the $R$ -matrix of the $U_{t} (s l (n + 1∣ m))$ quantum algebra. We i…

math-ph2023

A $(q, t)$ -deformation of the 2d Toda integrable hierarchy

Jean-Emile Bourgine, Alexandr Garbali

A $(q, t)$ -deformation of the 2d Toda integrable hierarchy is introduced by enhancing the underlying symmetry algebra $gl (\infty) ≃ q-W_{1 + \infty}$ to the quan…

Symmetric functions from the six-vertex model in half-space

Shuffle algebras, lattice paths and Macdonald functions

A (q,t)-deformation of the 2d Toda integrable hierarchy

A $(q, t)$ -deformation of the 2d Toda integrable hierarchy