The paper establishes explicit Hölder moduli of continuity for Lyapunov exponents of random GL(2,R) cocycles under compact support and simple spectrum, identifies specific log-Hölder exponents, proves concentration inequalities, and extends the theory to higher dimensions and one-dimensional random
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Quantitative H\"older Regularity, Concentration, and Spectral Applications for Lyapunov Exponents of Random $\operatorname{GL}(2,\mathbb{R})$ Cocycles, with Extensions to $\operatorname{GL}(d,\mathbb{R})$
The paper establishes explicit Hölder moduli of continuity for Lyapunov exponents of random GL(2,R) cocycles under compact support and simple spectrum, identifies specific log-Hölder exponents, proves concentration inequalities, and extends the theory to higher dimensions and one-dimensional random