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math.CO2024
Rational symmetric functions from the Izergin-Korepin 19-vertex model
Alexandr Garbali, Weiying Guo, Michael Wheeler
Starting from the Izergin-Korepin 19-vertex model in the quadrant, we introduce two families of rational multivariate functions and ; these are in direct analogy with fu…
math.CO2024
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…