HÖLDER CONTINUITY OF THE INTEGRATED DENSITY OF STATES FOR MATRIX-VALUED ANDERSON MODELS

DOI10.1142/S0129055X08003456zbMath1169.82008arXiv0711.3889OpenAlexW2077533322MaRDI QIDQ5503172

Hakim Boumaza

Publication date: 12 January 2009

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

Full work available at URL: https://arxiv.org/abs/0711.3889

zbMATH Keywords

Anderson modelintegrated density of statesThouless formulaLjapunov exponents

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Random linear operators (47B80)

Related Items (6)

Localization for a matrix-valued Anderson model ⋮ Localization for one-dimensional Anderson-Dirac models ⋮ Localization for random quasi-one-dimensional models ⋮ Localization properties of the Chalker-Coddington model ⋮ Lifshitz tails for continuous matrix-valued Anderson models ⋮ A matrix-valued point interactions model

Cites Work

• The heat kernel of the compactified \(D=11\) supermembrane with non-trivial winding
• Subharmonicity of the Lyapunov index
• On a class of random Schrödinger operators
• Stochastic Schrödinger operators and Jacobi matrices on the strip
• Localization for the Anderson model on a strip with singular potentials
• Anderson localization for Bernoulli and other singular potentials
• On dense free subgroups of Lie groups
• Positivity of Lyapunov exponents for a continuous matrix-valued Anderson model
• Singular integrals
• Lyapunov indices of a product of random matrices

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