Averaging and Invariant Measures

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Stable ergodicity for partially hyperbolic attractors with negative central exponents (2007, background): “It is shown in [12] that, in the class of skew products, negative central exponents appear for generic perturbations and that there is an open set of one-parameter families of skew products near F0 = f × id (f is an Anosov diffeomorphism and id is the identity map of any manifold) where the central ”
Smooth approximation of stochastic differential equations (2014, methodology): “We conclude this Introduction by mentioning related work of Dolgopyat [14], Theorem 5 and [15], Theorem 3(b).”