Sur les dimensions locales et les spectres des mesures

Jean René Chazottes; Benoît Saussol

doi:10.1016/S0764-4442(01)02043-2

Sur les dimensions locales et les spectres des mesures

Jean René Chazottes
, Benoît Saussol

University of São Paulo
Université de Picardie Jules Verne

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

6 Citations (Scopus)

Résumé

We give a new definition of the lower pointwise dimension associated with a Borel probability measure with respect to a general Carathéodory-Pesin structure. Then we show that the spectrum of the measure coincides with the essential supremum of the lower pointwise dimension. We provide an example coming from dynamical systems.

Titre traduit de la contribution	On pointwise dimensions and spectra of measures
langue originale	Français
Pages (de - à)	719-723
Nombre de pages	5
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	333
Numéro de publication	8
Les DOIs	https://doi.org/10.1016/S0764-4442(01)02043-2
état	Publié - 1 oct. 2001
Modification externe	Oui

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10.1016/S0764-4442(01)02043-2

Contient cette citation

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AB - We give a new definition of the lower pointwise dimension associated with a Borel probability measure with respect to a general Carathéodory-Pesin structure. Then we show that the spectrum of the measure coincides with the essential supremum of the lower pointwise dimension. We provide an example coming from dynamical systems.

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Sur les dimensions locales et les spectres des mesures

Résumé

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