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Coloured stochastic vertex models and their spectral theory/ Alexei Borodin and Michael Wheeler

By: Contributor(s): Material type: TextTextSeries: Asterisque ; 437Publication details: Paris: Societe Mathematicque de France, 2022Description: ix, 225 pages, 24 cmISBN:
  • 9782856299630
Subject(s): DDC classification:
  • 23 519.23  B726
Contents:
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
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Includes bibliography

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

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