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.
CITATION STYLE
Leplaideur, R., & Saussol, B. (2008). Large deviations for return times in non-rectangle sets for Axiom A diffeomorphisms. In Discrete and Continuous Dynamical Systems (Vol. 22, pp. 327–344). Southwest Missouri State University. https://doi.org/10.3934/dcds.2008.22.327
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