ON THE MULTIFRACTAL FORMALISM FOR BERNOULLI PRODUCTS OF INVERTIBLE MATRICES

被引：0

作者：

Bhouri, Imen ^{[1
]}

Tlili, Houssem ^{[1
]}

机构：

[1] Fac Sci Monastir, Dept Math, Monastir 5000, Tunisia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 24卷 / 04期

关键词：

Matrices product; Lyapunov exponent; Multifractal formalism; Hausdorff dimension; Frostman measure; Sierpinski gasket; Singularity spectrum; Holder exponent; DIVERGENCE POINTS; DIMENSION; AVERAGES;

D O I：

10.3934/dcds.2009.24.1129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the multifractal formalism for Bernoulli products of invertible matrices. Using the Fourier-Laplace transform, we prove the existence of a Frostman measure and so the validity of multifractal formalism. As an application we give an estimation of the spectrum of singularities of a harmonic function defined on the Sierpinski gasket.

引用

页码：1129 / 1145

页数：17

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