Poisson-type limit theorems for eigenvalues of finite-volume Anderson Hamiltonians
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Publication:996726
DOI10.1007/s10440-007-9096-zzbMath1149.82014OpenAlexW2158865638MaRDI QIDQ996726
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
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
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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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