Poisson-type limit theorems for eigenvalues of finite-volume Anderson Hamiltonians

DOI10.1007/s10440-007-9096-zzbMath1149.82014OpenAlexW2158865638MaRDI QIDQ996726

Arvydas Astrauskas

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9096-z

zbMATH Keywords

random potentialextreme eigenvaluesAnderson HamiltonianPoisson-type limit theorems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52)

Related Items (8)

Localisation in the Bouchaud-Anderson model ⋮ Eigenvalue Fluctuations for Lattice Anderson Hamiltonians ⋮ Localization for random walks among random obstacles in a single Euclidean ball ⋮ Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails ⋮ Extremal theory for spectrum of random discrete Schrödinger operator. III. Localization properties ⋮ Extremal theory for spectrum of random discrete Schrödinger operator. II. Distributions with heavy tails ⋮ Extremal theory for spectrum of random discrete Schrödinger operator. I: Asymptotic expansion formulas ⋮ Poly-logarithmic localization for random walks among random obstacles

Cites Work

• Unnamed Item
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• Extremal theory for spectrum of random discrete Schrödinger operator. II. Distributions with heavy tails
• On the basic states of one-dimensional disordered structures
• Extremes and related properties of random sequences and processes
• Limit theorems for basic states of the Anderson model
• On high-level exceedances of i. i. d. random fields

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