Matrix biorthogonal polynomials on the unit circle and non-Abelian Ablowitz–Ladik hierarchy

DOI10.1088/1751-8113/42/36/365211zbMath1180.37089arXiv0804.3572OpenAlexW2097165431MaRDI QIDQ3650374

Mattia Cafasso

Publication date: 14 December 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3572

zbMATH Keywords

Toeplitz latticeToda hierarchyAblowity-Ladik hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (10)

The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type ⋮ Orthogonal Laurent polynomials on the unit circle, extended CMV ordering and 2D Toda type integrable hierarchies ⋮ Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems ⋮ Integrable hierarchies and the mirror model of local \({\mathbb {CP}}^{1}\) ⋮ Large deviations for Ablowitz-Ladik lattice, and the Schur flow ⋮ Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective ⋮ On the Christoffel-Darboux formula for generalized matrix orthogonal polynomials ⋮ Rational reductions of the 2D-Toda hierarchy and mirror symmetry ⋮ Matrix models and stochastic growth in Donaldson-Thomas theory

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