Laws of Rare Events for Deterministic and Random Dynamical Systems

@inproceedings{Ayta2014LawsOR,
  title={Laws of Rare Events for Deterministic and Random Dynamical Systems},
  author={Hale Aytaç and Jorge Milhazes Freitas and S. Vaienti},
  year={2014}
}
The object of this paper is twofold. From one side we study the dichotomy, in terms of the Extremal Index of the possible Extreme Value Laws, when the rare events are centred around periodic or non periodic points. Then we build a general theory of Extreme Value Laws for randomly perturbed dynamical systems. We also address, in both situations, the convergence of Rare Events Point Processes. Decay of correlations against L observables will play a central role in our investigations. 

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Extremal behaviour of chaotic dynamics, Preprint CMUP

  • J. M. Freitas
  • 2012

Poisson and compound Poisson approximations in a nonconventional setup

  • Y. Kifer, A. Rapaport
  • 2012

Pollicott, Escape rates for Gibbs measures

  • M. A. Ferguson
  • Ergodic Theory Dynam. Systems
  • 2012

Rare events, exponential hitting times and extremal indices via spectral perturbationâ

  • G. Keller
  • Dynamical Systems
  • 2012

The compound Poisson limit ruling periodic extreme behaviour of non-uniformly hyperbolic dynamics

  • A.C.M. Freitas, J. M. Freitas, M. Todd
  • To appear in Comm. Math. Phys
  • 2012

An introduction to quantitative Poincaré recurrence in dynamical systems

  • B. Saussol
  • Rev. Math. Phys
  • 2009

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