Large deviations for return times in non-rectangle sets for axiom a diffeomorphisms
Renaud Leplaideur - Laboratoire de Mathématiques, CNRS UMR 6205, Université de Bretagne Occidentale, 6 av. Victor Le Gorgeu, CS 93837, 29238 BREST Cedex 3, France (email)
Abstract: For Axiom A diffeomorphisms and equilibrium states, we prove a Large deviations result for the sequence of successive return times into a fixed Borel set, under some assumption on the boundary. Our result relies on and extends the work by Chazottes and Leplaideur who considered cylinder sets of a Markov partition.
Keywords: large deviations, return times, thermodynamic formalism.
Received: July 2007; Revised: December 2007; Available Online: June 2008.
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