Examples of quasi-hyperbolic dynamical systems with slow decay of correlations

Stephane Le Borgne,Universite de Rennes,Campus de Beaulieu,Rennes Cedex

msra（2005）

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摘要

We give examples of quasi-hyperbolic dynamical systems with the following properties : polynomial decay of correlations, convergence in law toward a non gaussian law of the ergodic sums (divided by $n^{3/4}$) associated to non degenerated regular functions.

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关键词

partial hyperbolicity,limit theorem.,: quasi-hyperbolicity,dynamic system

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