Large deviation spectra based on wavelet leaders

Françoise Bastin, Céline Esser, Stéphane Jaffard · Revista Matemática Iberoamericana · 2016

We introduce a quantity that encapsulates the information given by the distribution at each scale of the wavelet leaders of a function, and which is independent of the chosen wavelet basis. This leads naturally to the definition of a new multifractal formalism which allows to detect non-concave multifractal spectra

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