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

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

2005-06-23

arxiv.org/abs/math/0506474v1

Mathematics

Dynamical Systems

Scientific paper

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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