Factorization of random Jacobi operators and Bäcklund transformations

DOI10.1007/BF02097029zbMath0778.58059MaRDI QIDQ1210097

Oliver Knill

Publication date: 16 May 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationssuper symmetryrandom Jacobi operator

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

Renormalization of random Jacobi operators

Cites Work

• Unnamed Item
• Kotani theory for one dimensional stochastic Jacobi matrices
• Ergodic theory of differentiable dynamical systems
• Theory of nonlinear lattices
• On the Bäcklund transformation for the Gel'fand-Dickey equations
• Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows
• Isospectral deformations of random Jacobi operators
• Three integrable Hamiltonian systems connected with isospectral deformations
• The spectrum of Jacobi matrices
• Inverse spectral theory for random Jacobi matrices
• Bäcklund Transformation for the Exponential Lattice

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