Random Wavelet Series: Theory and Applications

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dc.creatorAubry, Jean-Marie
dc.creatorJaffard, Stéphane
dc.date2003-10-28
dc.date.accessioned2026-07-07T04:30:41Z
dc.date.available2026-07-07T04:30:41Z
dc.descriptionRandom Wavelet Series form a class of random processes with multifractal properties. We give three applications of this construction. First, we synthesize a random function having any given spectrum of singularities satisfying some conditions (but including non-concave spectra). Second, these processes provide examples where the multifractal spectrum coincides with the spectrum of large deviations, and we show how to recover it numerically. Finally, particular cases of these processes satisfy a generalized selfsimilarity relation proposed in the theory of fully developed turbulence.
dc.descriptionTo appear in Annales Mathématiques Blaise Pascal
dc.identifierhttps://arxiv.org/abs/math-ph/0310061
dc.identifierhttp://arxiv.org/abs/math-ph/0310061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57545
dc.subjectMathematical Physics
dc.subject42C40; 77F55
dc.titleRandom Wavelet Series: Theory and Applications
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