Spectral statistics for the discrete Anderson model in the localized regime

zbMath1234.81075arXiv1006.4427MaRDI QIDQ3100049

François Germinet, Frédéric Klopp

Publication date: 22 November 2011

Full work available at URL: https://arxiv.org/abs/1006.4427

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Random operators and equations (aspects of stochastic analysis) (60H25) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80)

Related Items (6)

Poisson Statistics for Anderson Model with Singular Randomness ⋮ Some Estimates Regarding Integrated Density of States for Random Schrödinger Operator with Decaying Random Potentials ⋮ Eigenfunction statistics for Anderson model with Hölder continuous single site potential ⋮ Extremal theory for spectrum of random discrete Schrödinger operator. III. Localization properties ⋮ Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime ⋮ Spectral statistics for one-dimensional Anderson model with unbounded but decaying potential

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