Toda versus Pfaff lattice and related polynomials

Duke Mathematical Journal

Volumn 112, Issue 1, 2002, Pages 1-58

  Adler, M ^a   Van Moerbeke, P ^a  

^a BRANDEIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037085727     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-9074-02-11211-3     Document Type: Article

References (18)

1. Classical skew orthogonal polynomials and random matrices
2. The Pfaff lattice and skew-orthogonal polynomials
3. A lax representation for the vertex operator and the central extension
4. Pfaff tau-functions
5. Completely integrable systems, Euclidean Lie algebras and curves
6. Matrix integrals, toda symmetries, virasoro constraints, and orthogonal polynomials
7. Group factorization, moment matrices, and Toda lattices
8. Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum
9. Multicritical points of unoriented random surfaces
10. Transformation groups for soliton equations
11. Soliton equations and hamiltonian systems
12. The geometry of spinors and the multicomponent BKP and DKP hierarchies
13. Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
14. Matrix integrals and the geometry of spinors
15. Integrable lattices: Random matrices and random permutations
16. Two-dimensional gravity and intersection theory on moduli space