Geodesic
Correlation asymptotics from large deviations in dynamical systems with infinite measure
Sébastien Gouëzel1
1 IRMAR, CNRS UMR 6625 Université de Rennes 1 35042 Rennes, France
Colloquium Mathematicum, Tome 125 (2011) no. 2, pp. 193-212.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We extend a result of Doney [Probab. Theory Related Fields 107 (1997)] on renewal sequences with infinite mean to renewal sequences of operators. As a consequence, we get precise asymptotics for the transfer operator and for correlations in dynamical systems preserving an infinite measure (including intermittent maps with an arbitrarily neutral fixed point).
DOI : 10.4064/cm125-2-5
Keywords: extend result doney probab theory related fields renewal sequences infinite mean renewal sequences operators consequence get precise asymptotics transfer operator correlations dynamical systems preserving infinite measure including intermittent maps arbitrarily neutral fixed point

Sébastien Gouëzel 1

1 IRMAR, CNRS UMR 6625 Université de Rennes 1 35042 Rennes, France 
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Sébastien Gouëzel. Correlation asymptotics from large deviations in dynamical systems with infinite measure. Colloquium Mathematicum, Tome 125 (2011) no. 2, pp. 193-212. doi : 10.4064/cm125-2-5. http://geodesic.mathdoc.fr/articles/10.4064/cm125-2-5/

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