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

2005/06/23 by Stéphane Le Borgne, Stephane Le Borgne, Borgne, Stephane Le
Engineering · Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #math.DS #math.PR #msc:37D30

paper · pdf · doi:10.48550/arxiv.math/0506474

arxiv created 2005/06/23 · arxiv updated 2009/12/01

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.

Citations

• Recurrence times and rates of mixing

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