Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles
Abstract
We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-invertible matrix cocycles, subjected to small random perturbations. The first part extends results of Ledrappier and Young to the semi-invertible setting. The second part relies on the study of evolution of subspaces in the Grassmannian.
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