Extremal theory for spectrum of random discrete Schrödinger operator. III. Localization properties

DOI10.1007/s10955-012-0669-5zbMath1266.82033OpenAlexW2004410884MaRDI QIDQ1949331

Arvydas Astrauskas

Publication date: 7 May 2013

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

Full work available at URL: https://doi.org/10.1007/s10955-012-0669-5

zbMATH Keywords

random potentiallocalizationconvergence in probabilityAnderson Hamiltonianlargest eigenvalues and eigenfunctionslocalization centres

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails ⋮ On spectral problems of discrete Schrödinger operators.

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