Some uniform estimates in products of random matrices

DOI10.11650/twjm/1500407129zbMath0941.60017OpenAlexW1549673745MaRDI QIDQ1809741

Jhishen Tsay

Publication date: 3 August 2000

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500407129

zbMATH Keywords

invariant measurerandom matrixLyapunov exponent

Mathematics Subject Classification ID

Limit theorems in probability theory (60F99) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Exponential dynamical localization in expectation for the one dimensional Anderson model ⋮ A “lifting” method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson models ⋮ Localization for random CMV matrices ⋮ Parametric Furstenberg theorem on random products of \(\mathrm{SL}(2, \mathbb{R})\) matrices ⋮ Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent ⋮ Large deviations of the Lyapunov exponent and localization for the 1D Anderson model ⋮ Singular-unbounded random Jacobi matrices ⋮ Exponential dynamical localization for random word models

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