Tau-functions for the Ablowitz–Ladik hierarchy: the matrix-resolvent method
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Publication:5048495
DOI10.1088/1751-8121/ac5e74OpenAlexW4221003013MaRDI QIDQ5048495
Publication date: 16 November 2022
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.14202
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Random matrices (algebraic aspects) (15B52) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
Related Items
Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation, From wave functions to tau-functions for the Volterra lattice hierarchy, The constrained KP hierarchy and the bigraded Toda hierarchy of \((M, 1)\)-type, Grothendieck’s dessins d’enfants in a web of dualities. III
Cites Work
- Unnamed Item
- Unnamed Item
- The local Gromov-Witten theory of \({\mathbb{C}\mathbb{P}^1}\) and integrable hierarchies
- Matrix resolvent and the discrete KdV hierarchy
- Loop groups and equations of KdV type
- Recursion relations for unitary integrals, combinatorics and the Toeplitz lattice
- Generating series for GUE correlators
- Integrable nonlinear equations and Liouville's theorem. I
- Integrable hierarchies and the mirror model of local \({\mathbb {CP}}^{1}\)
- Jacobi ensemble, Hurwitz numbers and Wilson polynomials
- Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals
- On tau-functions for the Toda lattice hierarchy
- Correlation functions of the KdV hierarchy and applications to intersection numbers over \(\overline{\mathcal{M}}_{g, n}\)
- Approximating tau-functions by theta-functions
- On tau-functions for the KdV hierarchy
- Integrals over classical groups, random permutations, Toda and Toeplitz lattices
- UNITARY MATRIX MODELS AND PAINLEVÉ III
- Faces of Relativistic Toda Chain
- A modified melting crystal model and the Ablowitz–Ladik hierarchy
- Nonlinear differential−difference equations
- Nonlinear differential–difference equations and Fourier analysis
- Finite genus solutions to the Ablowitz‐Ladik equations
- Simple Lie algebras, Drinfeld--Sokolov hierarchies, and multi-point correlation functions
- Algebro-Geometric Finite-Band Solutions of the Ablowitz-Ladik Hierarchy
- Combinatorics and Random Matrix Theory
