Subharmonicity of the Lyapunov index

DOI10.1215/S0012-7094-83-05025-1zbMath0518.35027OpenAlexW1979336192MaRDI QIDQ1053882

Barry Simon, Walter Craig

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-83-05025-1

zbMATH Keywords

Schrödinger operatorsJacobi matricesThouless formulasubharmonicitydecay of eigenfunctionsLyapunov indexBrownian motion model

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) PDEs with randomness, stochastic partial differential equations (35R60)

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Cites Work

• Lyapunov numbers for the almost periodic Schrödinger equation
• Almost periodic Schrödinger operators. II: The integrated density of states
• Almost periodic Schrödinger operators: A review
• Sur le spectre des opérateurs aux différences finies aléatoires
• Exponential localization in one dimensional disordered systems
• The rotation number for almost periodic potentials
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Propriétés spectrales des algèbres de Banach
• The variation of spectra
• One-dimensional wave equations in disordered media
• THE STRUCTURE OF EIGENFUNCTIONS OF ONE-DIMENSIONAL UNORDERED STRUCTURES
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• Unnamed Item

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