INTEGRATED WAVELETS ON FRACTAL SETS .1. THE CORRELATION DIMENSION

被引：20

作者：

GHEZ, JM ^{[1
]}

VAIENTI, S ^{[1
]}

机构：

[1] CTR PHYS THEOR,F-13288 MARSEILLE,FRANCE

来源：

NONLINEARITY | 1992年 / 5卷 / 03期

关键词：

D O I：

10.1088/0951-7715/5/3/010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define the integrated wavelet transform of a measure on a set i and, using the thermodynamic formalism, we rigorously show that, for a large class of dynamical systems, it gives the correlation dimension of J. We recover qualitatively the same result analysing the Mellin transform of the wavelet. We apply this method to the numerical analysis of some hyperbolic and non-hyperbolic invariant sets.

引用

页码：777 / 790

页数：14

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