Moduli of continuity for the Lyapunov exponents of random 𝐺𝐿(2)-cocycles

Tall, El Hadji; Viana, Marcelo

doi:10.1090/tran/7973

Moduli of continuity for the Lyapunov exponents of random $\mathrm {GL}(2)$-cocycles
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by El Hadji Yaya Tall and Marcelo Viana PDF

Trans. Amer. Math. Soc. 373 (2020), 1343-1383 Request permission

Abstract:

The Lyapunov exponents of i.i.d. random $\mathrm {GL}(2)$-cocycles are Hölder continuous functions of the underlying probability distribution at each point with a simple Lyapunov spectrum. Moreover, they are log-Hölder continuous at every point.

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