Coloured stochastic vertex models and their spectral theory - Borodin, Alexei; Wheeler, Michael (Paris: Societe Mathematicque de France, 2022)
Introduction -- Rank- n vertex models -- Row operators and non-symmetric rational functions -- Branching rules and summation identities -- Recursive properties and symmetrics -- Monomial expansions: permutation graphs -- Monomial expansions: degenerations of nested bethe vectors -- Orthogonality -- Plancherel isomorphisms -- matching distributions -- Alternative proof of theorem 10.5.1 via Cherednik-Dunkl operators -- Reduction to one-dimensional systems of particles
Includes bibliography
Keywords: Probability; Mathematical Physics; Combinatorics