Multifractal analysis of continuous functions

被引：28

作者：

Olivier, E ^{[1
]}

机构：

[1] Ctr Math & Informat, Equipe DSA IML, F-13543 Marseille 13, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 10期

关键词：

D O I：

10.1016/S0764-4442(98)80221-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the symbolic dynamic on a finite alphabet, the pressure of Walters allows the study of the multifractal analysis of continuous functions. The results obtained link lip lai-ge deviation theory and apply to the classic multifractal analysis of a large class of ergodic measures not necessarilly homogeneous called g-measures and for which some phase transitions may occur. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：1171 / 1174

页数：4

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