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- W2965594328 abstract "We show that symbolic finite-to-one extensions of the type constructed by O. Sarig for surface diffeomorphisms induce Holder-continuous conjugacies on large sets. We deduce this from their Bowen property. This notion, introduced in a joint work with M. Boyle, generalizes a fact first observed by R. Bowen for Markov partitions. We rely on the notion of degree from finite equivalence theory and magic word isomorphisms. As an application, we give lower bounds on the number of periodic points first for surface diffeomorphisms (improving a result of Sarig) and for Sinai billiards maps (building on a result of Baladi and Demers). Finally we characterize surface diffeomorphisms admitting a Holder-continuous coding of all their aperiodic hyperbolic measures and give a slightly weaker construction preserving local compactness." @default.
- W2965594328 created "2019-08-13" @default.
- W2965594328 creator A5036468078 @default.
- W2965594328 date "2018-07-11" @default.
- W2965594328 modified "2023-09-27" @default.
- W2965594328 title "The degree of Bowen factors and injective codings of diffeomorphisms" @default.
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