Limit theorems for basic states of the Anderson model

DOI10.1007/BF01075060zbMath0791.60101OpenAlexW2008725707MaRDI QIDQ1320689

Stanislav Alekseevich Molchanov, Arvydas Astrauskas

Publication date: 18 May 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075060

zbMATH Keywords

Anderson modelDirichlet boundary conditionslimit theoremsdiscrete LaplacianLifshits tails

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Stochastic analysis (60H99) Limit theorems in probability theory (60F99)

Related Items (6)

Extremal theory for spectrum of random discrete Schrödinger operator. III. Localization properties ⋮ Extremal theory for spectrum of random discrete Schrödinger operator. I: Asymptotic expansion formulas ⋮ Strong laws for exponential order statistics and spacings ⋮ On high-level exceedances of i. i. d. random fields ⋮ Poisson-type limit theorems for eigenvalues of finite-volume Anderson Hamiltonians ⋮ Limit theorems for the maximal eigenvalues of the mean-field Hamiltonian with random potential

Cites Work

• Absence of diffusion in the Anderson tight binding model for large disorder or low energy

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