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Large deviations for return times in non-rectangle sets for axiom a diffeomorphisms

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  • 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.
    Mathematics Subject Classification: Primary: 37B20, 37C45, 37D20, 37D35, 60F10.


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