Correlation asymptotics from large deviations in dynamical systems with infinite measure

Sébastien Gouëzel (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We extend a result of Doney [Probab. Theory Related Fields 107 (1997)] on renewal sequences with in nite 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 in nite measure (including intermittent maps with an arbitrarily neutral xed point).

Mots clés: in nite measure; transfer operator; renewal sequences of operators; large deviations

Sébastien Gouëzel. Correlation asymptotics from large deviations in dynamical systems with infinite measure. Colloquium Mathematicum, 2011, 125 (2), pp.193-212. ⟨10.4064/cm125-2-5⟩. ⟨hal-00695572⟩