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ArticleOriginal scientific text

Title

Large deviations for generic stationary processes

Authors 1, 2

Affiliations

  1. Laboratoire de Mathématiques et Physique Théorique, UPRES-A 6083 CNRS, Université François Rabelais, Parc de Grandmont, F-37200 Tours, France
  2. Laboratoire d'Analyse et Modèles Stochastiques, UPRES-A 6085 CNRS, Université de Rouen, F-76821 Mont-Saint-Aignan Cedex, France

Abstract

Let (Ω,A,μ,T) be a measure preserving dynamical system. The speed of convergence in probability in the ergodic theorem for a generic function on Ω is arbitrarily slow.

Bibliography

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Colloquium Mathematicum
2000/84/85/1
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Pages:
75-82
Main language of publication
English
Received
1999-05-10
Accepted
1999-06-28
Published
2000
Exact and natural sciences