Wavelet transform of multifractals

Statistics – Applications

Scientific paper

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118

Chaos, Fractals, Scaling Laws, Applications Of Mathematics, Fourier Transformation, Power Spectra

Scientific paper

The wavelet transform (WT) is introduced as a mathematical microscope
that is well suited for investigating the local scaling properties of
fractal objects. The WT technique is applied to probability measures on
self-similar Cantor sets and to the golden-mean trajectories on two-tori
at the onset of chaos.

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