Correlation asymptotics from large deviations in dynamical systems with infinite measure

• Autorzy: Sébastien Gouëzel
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 37C30: Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
• 37A40: Nonsingular (and infinite-measure preserving) transformations
• 60K05: Renewal theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 125
• Numer: 2
• Strony: 193-212

Daty

wydano

2011

Twórcy

autor

Sébastien Gouëzel

• IRMAR, CNRS UMR 6625, Université de Rennes 1, 35042 Rennes, France

Identyfikatory

DOI

10.4064/cm125-2-5