Multifractal Decomposition for a Family of Overlapping Self-Similar Measures

Sze-Man Ngai

doi:10.1142/9789814529686

Multifractal Decomposition for a Family of Overlapping Self-Similar Measures

Sze-Man Ngai

Mathematical Sciences

Research output: Contribution to book or proceeding › Chapter

Abstract

We discuss two methods for computing the multifractal dimension spectrum of a self-similar measure defined by a family of similitudes which does not satisfy the open set condition. Results are obtained by applying these methods to the measures defined by Si (x) = 1/2s + i/2, i = 0, 1, ... , N, which is the well-known family defining the dilation equations in the wavelet theory.

Original language	American English
Title of host publication	Fractal Frontiers: Fractals in the Natural and Applied Sciences
DOIs	https://doi.org/10.1142/9789814529686
State	Published - May 1997

Disciplines

Mathematics

Keywords

Family
Multifractal decomposition
Overlapping self-similar measures

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10.1142/9789814529686License: Unspecified

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Multifractal Decomposition for a Family of Overlapping Self-Similar Measures

Abstract

Disciplines

Keywords

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