Limit Theorems for Fast-slow partially hyperbolic systems
Dynamical Systems
2017-11-06 v3
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.
Cite
@article{arxiv.1408.5453,
title = {Limit Theorems for Fast-slow partially hyperbolic systems},
author = {Jacopo De Simoi and Carlangelo Liverani},
journal= {arXiv preprint arXiv:1408.5453},
year = {2017}
}