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math.DS2013★ 4 cited
A monotone Sinai theorem
Anthony Quas, Terry Soo
Sinai proved that a nonatomic ergodic measure-preserving system has any Bernoulli shift of no greater entropy as a factor. Given a Bernoulli shift, we show that any other Bernoulli…
math.DS2013
Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles
Gary Froyland, Cecilia González-Tokman, Anthony Quas
We establish (i) stability of Lyapunov exponents and (ii) convergence in probability of Oseledets spaces for semi-invertible matrix cocycles, subjected to small random perturbation…