Poincaré recurrence for observations - Université de Bretagne Occidentale Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2008

Poincaré recurrence for observations

Jerôme Rousseau
  • Fonction : Auteur
  • PersonId : 850204
Benoit Saussol

Résumé

A high dimensional dynamical system is often studied by experimentalists through the measurement of a relatively low number of different quantities, called an observation. Following this idea and in the continuity of Boshernitzan's work, for a measure preserving system, we study Poincaré recurrence for the observation. The link between the return time for the observation and the Hausdorff dimension of the image of the invariant measure is considered. We prove that when the decay of correlations is super polynomial, the recurrence rates for the observations and the pointwise dimensions relatively to the push-forward are equal.
Fichier principal
Vignette du fichier
PRFO160608.pdf (226.56 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00293637 , version 1 (07-07-2008)

Identifiants

Citer

Jerôme Rousseau, Benoit Saussol. Poincaré recurrence for observations. 2008. ⟨hal-00293637⟩
88 Consultations
188 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More