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arXiv · 1310.2398

Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles

Gary Froyland·Cecilia González-Tokman·Anthony Quas
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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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Gary Froyland, Cecilia González-Tokman, Anthony Quas. 2013-10-09. Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles. https://arxiv.org/abs/1310.2398

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