Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model

DOI10.1016/0022-1236(90)90126-6zbMath0698.60050OpenAlexW2036384201MaRDI QIDQ912485

Athanasios Speis, Abel Klein

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90126-6

zbMATH Keywords

Fourier transformrandom Schrödinger operatorspectral propertiesdensity of statesperturbation argumentsinvariance equationdistribution of states

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Linear difference operators (47B39)

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Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ The density of states in the Anderson model at weak disorder: A renormalization group analysis of the hierarchical model ⋮ On the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorder ⋮ Spreading of wave packets in the Anderson model on the Bethe lattice ⋮ Analyticity of the density of states in the Anderson model on the Bethe lattice ⋮ Extended states in the Anderson model on the Bethe lattice ⋮ Smoothness of integrated density of states of the Anderson model on Bethe lattice in high disorder ⋮ A general spectral gap property for measures. ⋮ Anomalies in the one-dimensional Anderson model at weak disorder ⋮ A note on the analyticity of density of states ⋮ Regularity of the density of states in the Anderson model on a strip for potentials with singular continuous distributions ⋮ Regularity of the density of states of random Schrödinger operators

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