Gibbs properties of self-conformal measures and the multifractal formalism

被引：34
|
作者：
Feng, De-Jun [1 ]
机构：
[1] Chinese Univ Hong Kong, Dept Math, Sha Tin, Hong Kong, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2007年 / 27卷
关键词：
D O I：
10.1017/S0143385706000952
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for any self-conformal measures, without any separation conditions, the multifractal formalism partially holds. The result follows by establishing certain Gibbs properties for self-conformal measures.
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页码：787 / 812
页数：26
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