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On the wavelet analysis for multifractal sets

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Abstract

We establish a rigorous relation between the wavelet transform of a measure and its local scaling exponents.

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Authors and Affiliations

  1. Centre de Physique Théorique (Unité Propre de Recherche 7061), CNRS-Luminy-Case 907, 13288, Marseille Cedex 9, France

    J. -M. Ghez & S. Vaienti

  2. PHYMAT, Département de Mathématiques, Université de Toulon et du Var, 83130, La Garde, France

    J. -M. Ghez

  3. Dipartimento di Fisica and INFN, Universita di Bologna, Bologna, Italy

    S. Vaienti

Authors
  1. J. -M. Ghez
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  2. S. Vaienti
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Ghez, J.M., Vaienti, S. On the wavelet analysis for multifractal sets. J Stat Phys 57, 415–420 (1989). https://doi.org/10.1007/BF01023655

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  • DOI: https://doi.org/10.1007/BF01023655

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