scientific article

zbMath0599.60062MaRDI QIDQ3734805

Jean Lacroix

Publication date: 1984

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1984__40_1_97_0

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zbMATH Keywords

symplectic grouprandom potentialfinite difference Schrödinger operatorexponentially decaying eigenvectors

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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The distribution of Lyapunov exponents: Exact results for random matrices ⋮ A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes ⋮ Lower bounds on Anderson-localised eigenfunctions on a strip ⋮ Anderson transition at two-dimensional growth rate on antitrees and spectral theory for operators with one propagating channel ⋮ Stochastic Schrödinger operators and Jacobi matrices on the strip ⋮ Absolutely continuous spectrum for random Schrödinger operators on tree-strips of finite cone type ⋮ Smoothness of the integrated density of states on strips ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3311395 Loi des grands nombres et perturbations pour des produits r�ductibles de matrices al�atoires ind�pendantes] ⋮ Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar tree-strips ⋮ Anderson localisation for quasi-one-dimensional random operators

Cites Work

• Sur le spectre des opérateurs aux différences finies aléatoires
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Spherical functions and integral geometry
• Discrete and continuous boundary problems
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