Zariski closure of subgroups of the symplectic group and Lyapunov exponents of the Schrödinger operator on the strip

DOI10.1007/BF02099606zbMath0840.60056MaRDI QIDQ1908069

Ilya Ya. Goldsheid

Publication date: 4 March 1996

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

zbMATH Keywords

Lyapunov exponentsSchrödinger equationrandom potential

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items (7)

Lower bounds on Anderson-localised eigenfunctions on a strip ⋮ Random magnetic fields on line graphs ⋮ Zariski closure and the dimension of the Gaussian law of the product of random matrices. I ⋮ Localization for random quasi-one-dimensional models ⋮ Absence of absolutely continuous spectrum for random scattering zippers ⋮ Anderson localization for one-frequency quasi-periodic block operators with long-range interactions ⋮ Anderson localisation for quasi-one-dimensional random operators

Cites Work

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• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• Constructive proof of localization in the Anderson tight binding model
• Stochastic Schrödinger operators and Jacobi matrices on the strip
• Characteristic exponents and invariant manifolds in Hilbert space
• Localization for the Anderson model on a strip with singular potentials
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Anderson localization for Bernoulli and other singular potentials

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