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

Translated title of the contribution: On pointwise dimensions and spectra of measures

Jean René Chazottes
, Benoît Saussol

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Translated title of the contribution	On pointwise dimensions and spectra of measures
Original language	French
Pages (from-to)	719-723
Number of pages	5
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	333
Issue number	8
DOIs	https://doi.org/10.1016/S0764-4442(01)02043-2
Publication status	Published - 1 Oct 2001
Externally published	Yes

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10.1016/S0764-4442(01)02043-2

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title = "Sur les dimensions locales et les spectres des mesures",

abstract = "We give a new definition of the lower pointwise dimension associated with a Borel probability measure with respect to a general Carath{\'e}odory-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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AU - Saussol, Benoît

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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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DO - 10.1016/S0764-4442(01)02043-2

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 8

ER -

Sur les dimensions locales et les spectres des mesures

Abstract

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