Israel Journal of Mathematics

, Volume 110, Issue 1, pp 153–188 | Cite as

Recurrence times and rates of mixing

  • Lai-Sang Young


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.


Invariant Measure Central Limit Theorem Return Time Recurrence Time Invariant Probability Measure 
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Copyright information

© Hebrew University 1999

Authors and Affiliations

  • Lai-Sang Young
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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