Fast-slow partially hyperbolic systems: beyond averaging. Part I (Limit Theorems)

作者: Carlangelo Liverani , Jacopo De Simoi

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

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