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math.PR2019
Color-position symmetry in interacting particle systems
Alexei Borodin, Alexey Bufetov
We prove a color-position symmetry for a class of ASEP-like interacting particle systems with discrete time on the one-dimensional lattice. The full space-time inhomogeneity of our…
math-ph2019
Nonsymmetric Macdonald polynomials via integrable vertex models
Alexei Borodin, Michael Wheeler
Starting from an integrable rank- vertex model, we construct an explicit family of partition functions indexed by compositions . Using the Yang-Baxter algebr…