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Pesin’s dimension for Poincaré recurrences. (English) Zbl 0933.37019
Summary: A new characteristic of Poincaré recurrences is introduced. It describes an average return time in the framework of a general construction for dimension-like characteristics. Some examples are considered including rotations on the circle and the Denjoy example.

37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
37B20 Notions of recurrence and recurrent behavior in topological dynamical systems
37E05 Dynamical systems involving maps of the interval
Full Text: DOI Link
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[2] DOI: 10.1063/1.166252 · Zbl 0933.37024
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