Perturbation theory for Lyapunov exponents of an Anderson model on a strip

DOI10.1007/s00039-004-0484-5zbMath1089.47061arXivmath-ph/0405018OpenAlexW2964185344MaRDI QIDQ1764301

Hermann Schulz-Baldes

Publication date: 24 February 2005

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0405018

zbMATH Keywords

perturbationAnderson modelLyapunov exponent

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (14)

On Random Walks in Large Compact Lie Groups ⋮ Random Lie group actions on compact manifolds: a perturbative analysis ⋮ A lower bound for the Lyapounov exponents of the random Schrödinger operator on a strip ⋮ Partially hyperbolic random dynamics on Grassmannians ⋮ On the AC spectrum of one-dimensional random Schrödinger operators with matrix-valued potentials ⋮ Anomalies in conductance and localization length of disordered ladders ⋮ Random Schrödinger operators on long boxes, noise explosion and the GOE ⋮ From the Anderson model on a strip to the DMPK equation and random matrix theory ⋮ The random phase property and the Lyapunov spectrum for disordered multi-channel systems ⋮ The scaling limit of the critical one-dimensional random Schrödinger operator ⋮ Random perturbations of hyperbolic dynamics ⋮ Random Möbius dynamics on the unit disc and perturbation theory for Lyapunov exponents ⋮ Anderson localization and propagation of electromagnetic waves through disordered media ⋮ Counting the exponents of single transfer matrices

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