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Journal of Statistical Physics

, Volume 57, Issue 1–2, pp 415–420 | Cite as

On the wavelet analysis for multifractal sets

  • J. -M. Ghez
  • S. Vaienti
Short Communications

Abstract

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

Key words

Wavelets multifractal Hausdorff dimensions 

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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • J. -M. Ghez
    • 1
    • 2
  • S. Vaienti
    • 1
    • 3
  1. 1.Centre de Physique Théorique (Unité Propre de Recherche 7061)CNRS-Luminy-Case 907Marseille Cedex 9France
  2. 2.PHYMAT, Département de MathématiquesUniversité de Toulon et du VarLa GardeFrance
  3. 3.Dipartimento di Fisica and INFNUniversita di BolognaBolognaItaly

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