Statistical properties of a skew product with a curve of neutral points

• Autores: Sébastien Gouëzel
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 1, 2007, págs. 123-151
• Idioma: inglés
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• Resumen

  • We study a skew product with a curve of neutral points. We show that there exists a unique absolutely continuous invariant probability measure, and that the Birkhoff averages of a sufficiently smooth observable converge to a normal law or a stable law, depending on the average of the observable along the neutral curve.