Extremal theory for spectrum of random discrete Schrödinger operator. I: Asymptotic expansion formulas

DOI10.1007/s10955-008-9519-xzbMath1149.82015OpenAlexW2026417557MaRDI QIDQ937093

Arvydas Astrauskas

Publication date: 20 August 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-008-9519-x

zbMATH Keywords

principal eigenvaluerandom potentialextreme eigenvaluesAnderson HamiltonianExtremal type limit theoremRare scatterers model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

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 ⋮ Poly-logarithmic localization for random walks among random obstacles

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