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arXiv · 1812.07340

A spectral approach for quenched limit theorems for random hyperbolic dynamical systems

D. Dragičević·G. Froyland·C. González-Tokman·S. Vaienti
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Abstract

We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding dynamics under general random driving [DrFrGTVa18] to quenched random piecewise hyperbolic dynamics including some classes of billiards. For general ergodic sequences of maps in a neighbourhood of a hyperbolic map we prove a quenched large deviations principle (LDP), central limit theorem (CLT), and local central limit theorem (LCLT).

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D. Dragičević, G. Froyland, C. González-Tokman, S. Vaienti. 2018-12-18. A spectral approach for quenched limit theorems for random hyperbolic dynamical systems. https://arxiv.org/abs/1812.07340

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