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arXiv · 1408.5453

Limit Theorems for Fast-slow partially hyperbolic systems

Jacopo De Simoi·Carlangelo Liverani
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Abstract

We prove several limit theorems for a simple class of partially hyperbolic fast-slow systems. We start with some well know results on averaging, then we give a substantial refinement of known large (and moderate) deviation results and conclude with a completely new result (a local limit theorem) on the distribution of the process determined by the fluctuations around the average. The method of proof is based on a mixture of standard pairs and Transfer Operators that we expect to be applicable in a much wider generality.

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Jacopo De Simoi, Carlangelo Liverani. 2014-08-23. Limit Theorems for Fast-slow partially hyperbolic systems. https://arxiv.org/abs/1408.5453

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