DISTRIBUTION OF LOCALIZATION CENTERS IN SOME DISCRETE RANDOM SYSTEMS

DOI10.1142/S0129055X07003176zbMath1143.82017arXivmath-ph/0701042OpenAlexW2040812500MaRDI QIDQ3502910

Fumihiko Nakano

Publication date: 20 May 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0701042

zbMATH Keywords

Distributiondiscrete random systemslocalization centers

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

Eigenfunction statistics for Anderson model with Hölder continuous single site potential ⋮ Localization crossover for the continuous Anderson Hamiltonian in 1-d ⋮ Shape of eigenvectors for the decaying potential model ⋮ Minami's estimate: beyond rank one perturbation and monotonicity ⋮ Global multiplicity bounds and spectral statistics for random operators ⋮ Eigenvalue statistics for random Schrödinger operators with non rank one perturbations ⋮ Infinite divisibility of random measures associated to some random Schrödinger operators

Cites Work

• Eigenfunction statistics in the localized Anderson model
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• Sur le spectre des opérateurs aux différences finies aléatoires
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• Anderson localization for 2D discrete Schrödinger operators with random magnetic fields
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• The repulsion between localization centers in the Anderson model
• Simplicity of eigenvalues in the Anderson model
• Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
• Finite volume approximation of the Anderson model
• On the Mott formula for the ac conductivity and binary correlators in the strong localization regime of disordered systems
• LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS

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