Matrix orthogonal polynomials, non-abelian Toda lattices, and Bäcklund transformations
DOI10.1007/s11425-022-2168-xzbMATH Open1547.37093MaRDI QIDQ6608129
Publication date: 19 September 2024
Published in: Science China. Mathematics (Search for Journal in Brave)
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Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60) Matrix exponential and similar functions of matrices (15A16) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)
Cites Work
- Title not available (Why is that?)
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- Multivariate orthogonal polynomials and integrable systems
- Non-commutative integrability, paths and quasi-determinants
- Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
- Moment matrices and multi-component KP, with applications to random matrix theory
- A direct proof of the Christoffel-Darboux identity and its equivalence to the recurrence relationship
- Padé-type approximation and general orthogonal polynomials
- Nonabelian integrable systems, quasideterminants, and Marchenko lemma
- A theory of noncommutative determinants and characteristic functions of graphs
- Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
- Recursion relations for unitary integrals, combinatorics and the Toeplitz lattice
- Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions
- Moment modification, multipeakons, and nonisospectral generalizations
- Quasideterminants
- Noncommutative symmetric functions
- Determinants of matrices over noncommutative rings
- Minor identities for quasi-determinants and quantum determinants
- Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials
- Orthogonal matrix polynomials and applications
- The two-periodic Aztec diamond and matrix valued orthogonal polynomials
- Interacting diffusions on positive definite matrices
- Matrix Toda and Volterra lattices
- Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice
- Toda chain, Stieltjes function, and orthogonal polynomials
- Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials
- Orthogonal polynomials and random matrices: a Riemann-Hilbert approach.
- A generalized Freud weight
- Noncommutative Toda chains, Hankel quasideterminants and the Painlevé II equation
- Higher analogues of the discrete-time Toda equation and the quotient-difference algorithm
- The Analytic Theory of Matrix Orthogonal Polynomials
- On a direct approach to quasideterminant solutions of a noncommutative KP equation
- Linear algebra algorithms as dynamical systems
- Matrix Valued Orthogonal Polynomials Arising from Group Representation Theory and a Family of Quasi-Birth-and-Death Processes
- Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
- Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy
- A canonical Geronimus transformation for matrix orthogonal polynomials
- Quasideterminant solutions of a non-Abelian Hirota–Miwa equation
- Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
- Degasperis-Procesi peakons and the discrete cubic string
- Abelianization of Matrix Orthogonal Polynomials
- Christoffel transformations for (partial-)skew-orthogonal polynomials and applications
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