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

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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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Dynamical Systems, Probability, 37D30

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http://salesiana.dossiersoluciones.com/handle/123456789/75565

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506474
 http://arxiv.org/abs/math/0506474

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arXiv