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arXiv:2001.08265 [math.DS]AbstractReferencesReviewsResources

Lipschitz regularity of the invariant measure and statistical properties for a class of random dynamical systems

D. Lima, R. Lucena

Published 2020-01-22Version 1

We consider a class of Random Dynamical Systems and prove that its invariant measure has a Lipschitz disintegration. As a consequence, we prove exponential decay of correlations over regular observables. Both results are obtained as an application of spectral gap for its transfers operator which is also proved in the paper.

Comments: Comments and suggestions are welcome!! This is the first version, improvements are coming (specially typos corrections)
Categories: math.DS, math.FA
Subjects: 37A25, 37A10, 37C30, 37D50
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