Lyapunov exponents for unitary Anderson models

DOI10.1063/1.2713996zbMath1137.82315arXivmath-ph/0611081OpenAlexW2012121380WikidataQ126265403 ScholiaQ126265403MaRDI QIDQ3442273

Günter Stolz, Eman Hamza

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0611081

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) Random linear operators (47B80)

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Cites Work

• Spectral analysis of unitary band matrices
• Dynamical localization for the random dimer Schrödinger operator
• Anderson localization for Bernoulli and other singular potentials
• Localization for one-dimensional, continuum, Bernoulli-Anderson models.
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Delocalization in random polymer models
• Density of states and Thouless formula for random unitary band matrices
• Localization for random unitary operators
• Fractional moment estimates for random unitary operators