Recurrence times and rates of mixing

  title={Recurrence times and rates of mixing},
  author={Lai-Sang Young},
  journal={Israel Journal of Mathematics},
  • L. Young
  • Published 1 November 1999
  • Mathematics, Economics
  • Israel Journal of Mathematics
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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Ergodic Theory and Differentiable Dynamics
0. Measure Theory.- 1. Measures.- 2. Measurable Maps.- 3. Integrable Functions.- 4. Differentiation and Integration.- 5. Partitions and Derivatives.- I. Measure-Preserving Maps.- 1. Introduction.- 2.
Ergodic Theory and Differentiable Dynamics By Ricardo Mañé: Translated from the Portuguese by Silvio Levy. Ergebnisse de Mathematik und ihrer Grenzgebiete, 3 Folge-Band 8. Springer-Verlag 1987.
  • P. Walters
  • Mathematics
    Ergodic Theory and Dynamical Systems
  • 1989
This book is the eagerly awaited translation into English of the I.M.P.A. monograph written in Portuguese and not easily available outside Brazil. The aim of the book is to describe the rudiments of