Erdös-Rényi laws for dynamical systems

  title={Erd{\"o}s-R{\'e}nyi laws for dynamical systems},
  author={Manfred Denker and Matthew Nicol},
  journal={J. London Math. Society},
We establish Erdös-Rényi limit laws for Lipschitz observations on a class of non-uniformly expanding dynamical systems, including logistic-like maps. These limit laws give the maximal average of a time series over a time window of logarithmic length. We also give results on maximal averages of a time series arising from Hölder observations on intermittent-type maps over a time window of polynomial length. We consider the rate of convergence in the limit law for subshifts of finite type and… CONTINUE READING

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Statistics of closest return for some non-uniformly hyperbolic systems

  • P. Collet
  • Ergodic Theory Dynam. Systems ,
  • 2001
Highly Influential
6 Excerpts

An Erdös-Rényi law for mixing processes

  • M. Denker, Z. Kabluchko
  • Probab. Math. Statist
  • 2007
Highly Influential
4 Excerpts

Young,L.-S.: Large deviations in nonuniformly hyperbolic dynamical systems

  • L. Rey-Bellet
  • Ergodic Theory Dynam. Systems
  • 2008
1 Excerpt

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