Revista Matemática Iberoamericana

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Volume 32, Issue 3, 2016, pp. 859–890
DOI: 10.4171/RMI/901

Published online: 2016-10-03

Large deviation spectra based on wavelet leaders

Françoise Bastin, Céline Esser and Stéphane Jaffard[1]

(1) Université Paris Est, Créteil, France

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

Keywords: Large deviation spectra, $S^ν$ spaces, multifractal analysis, profile spaces, wavelet leaders

Bastin Françoise, Esser Céline, Jaffard Stéphane: Large deviation spectra based on wavelet leaders. Rev. Mat. Iberoamericana 32 (2016), 859-890. doi: 10.4171/RMI/901