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

Stephane Le Borgne
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Abstract

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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Stephane Le Borgne. 2005-06-23. Examples of quasi-hyperbolic dynamical systems with slow decay of correlations. https://arxiv.org/abs/math/0506474

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