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Название: Singularity Spectrum of Fractal Signals from Wavelet Analysis: Exact Results
Авторы: Bacry E., Muzy J.F., Arneodo A.
Аннотация:
Journal of Statistical Physics, Vol. 70, Nos. 3/4, 1993. p. 635-674.
The multifractal formalism for singular measures is revisited using the wavelet transform. For Bernoulli invariant measures of some expanding Markov maps, the generalized fractal dimensions are proved to be transition points for the scaling exponents of some partition functions defined from the wavelet transform modulus maxima...