Spectral self-similarity, one-dimensional Ising chains and random matrices

DOI10.1016/S0550-3213(98)00678-6zbMath0948.82023MaRDI QIDQ1571879

Vyacheslav P. Spiridonov, Igor M. Loutsenko

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Nonlinear ordinary differential operators (34L30)

Related Items

Multivariate hypergeometric functions as \(\tau\)-functions of Toda lattice and Kadomtsev-Petviashvili equation, On integrability and exact solvability in deterministic and stochastic Laplacian growth

Cites Work

• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials
• On the spectra of hyperelliptic potentials
• Reflectionless Transmission through Dielectrics and Scattering Potentials
• The inverse scattering transform: Semi-infinite interval
• DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
• ASSOCIATED STURM-LIOUVILLE SYSTEMS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item