ON THE HIGHER-DIMENSIONAL MULTIFRACTAL ANALYSIS

被引：8

作者：

Barral, Julien ^{[1
]}

Qu, Yan-Hui ^{[2
]}

机构：

[1] Univ Paris 13, Inst Galilee, Dept Math, LAGA UMR 7539, F-93430 Villetaneuse, France

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2012年 / 32卷 / 06期

关键词：

Almost additive potential; quotient; generalized multifractal formalism; NONADDITIVE THERMODYNAMIC FORMALISM; GIBBS MEASURES; VARIATIONAL PRINCIPLE; NONNEGATIVE MATRICES; EXPANDING MAPS; EQUILIBRIUM; REPELLERS; PRODUCTS; ENTROPY;

D O I：

10.3934/dcds.2012.32.1977

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We achieve the higher-dimensional multifractal analysis for quotients of almost additive potentials on topologically mixing subshifts of finite type without restriction on the regularity of the potentials,nor on the support of the Hausdorff spectrum, for which we do not need to assume that it has a non empty interior.

引用

页码：1977 / 1995

页数：19

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