3 papers
math-ph2026
The asymmetric five vertex model on a rectangle
Jan de Gier, Richard Kenyon, Michael Wheeler +1
We derive a determinantal expression for the inhomogeneous asymmetric five vertex model in a rectangular geometry with arbitrary boundary conditions at the bottom and top. Standard…
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…