The top Lyapunov exponent of i.i.d. random cocycles with values in Mat_m(R) is Hölder continuous in the Wasserstein metric under finite exponential moments, quasi-irreducibility, and a spectral gap.
Barrientos and Dominique Malicet, Mostly contracting random maps, 2024
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H\"older continuity of Lyapunov exponents for non-invertible and non-compact random cocycles
The top Lyapunov exponent of i.i.d. random cocycles with values in Mat_m(R) is Hölder continuous in the Wasserstein metric under finite exponential moments, quasi-irreducibility, and a spectral gap.