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Recurrence times and rates of mixing

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Abstract

The setting of this paper consists of a map making “nice” returns to a reference set. Criteria for the existence of equilibria, speed of convergence to equilibria and for the central limit theorem are given in terms of the tail of the return time function. The abstract setting considered arises naturally in differentiable dynamical systems with some expanding or hyperbolic properties.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 90095-1555, Los Angeles, CA, USA

    Lai-Sang Young

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  1. Lai-Sang Young
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The author is partially supported by a grant from the National Science Foundation and a Guggenheim Fellowship.

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Young, LS. Recurrence times and rates of mixing. Isr. J. Math. 110, 153–188 (1999). https://doi.org/10.1007/BF02808180

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  • DOI: https://doi.org/10.1007/BF02808180

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