Wavelet Analysis of Fractal Boundaries. Part 2: Multifractal Analysis

Orthonormal bases of compactly supported wavelets

Ingrid Daubechies · Communications on Pure and Applied Mathematics · 1988 · 8.1K citations

Image Analysis, Engineering, Gabor Expansion +15

Fractal measures and their singularities: The characterization of strange sets

Physical review. A, General physics · 1986 · 3.2K citations

Integral Geometry, Measure Theory, Engineering +12

The thermodynamics of fractals revisited with wavelets

A. Arnéodo, Emmanuel Bacry, Jean–François Muzy · Physica A Statistical Mechanics and its Applications · 1995 · 468 citations

Engineering, Physics, Entropy +3

Two definitions of fractional dimension

Claude Tricot · Mathematical Proceedings of the Cambridge Philosophical Society · 1982 · 363 citations

Infinite Dimensional Analysis, Geometric Group Theory, Fractional-order System +9

On the multifractal analysis of measures

G. Brown, Gérard Michon, J. Peyri�re · Journal of Statistical Physics · 1992 · 292 citations

Measure Theory, Multifractal Analysis, Non-additive Measure +2