Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems

DOI10.1088/0305-4470/16/7/002zbMath0568.34043OpenAlexW2098329851MaRDI QIDQ3684461

Barry Simon, Walter Craig, Joseph E. Avron

Publication date: 1983

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

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83

zbMATH Keywords

Lyapunov exponentsuitable random potential

Mathematics Subject Classification ID

Hamilton's equations (70H05) Ordinary differential equations and systems with randomness (34F05)

Related Items

Large coupling asymptotics for the entropy of quasi-periodic operators ⋮ Non-Lyapunov annealed decay for 1d Anderson eigenfunctions ⋮ MATHEMATICAL ASPECTS OF ANDERSON LOCALIZATION ⋮ Degenerations of \(\mathrm{SL}(2, \mathbb{C})\) representations and Lyapunov exponents ⋮ Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices ⋮ Bounds on the Lyapunov exponent via crude estimates on the density of states