On pointwise dimensions and spectra of measures

被引：5

作者：

Chazottes, JR

Saussol, B

机构：

[1] USP, IME, BR-05315970 Sao Paulo, SP, Brazil

[2] UPJV, CNRS, FRE 2270, LAMFA, F-80039 Amiens 1, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 333卷 / 08期

关键词：

D O I：

10.1016/S0764-4442(01)02043-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new definition of the lower pointwise dimension associated with a Borel probability measure with respect to a general Caratheodory-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. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：719 / 723

页数：5