Communications in Mathematical Physics

, Volume 258, Issue 3, pp 541–565 | Cite as

Wavelet Analysis of Fractal Boundaries. Part 2: Multifractal Analysis

  • Stéphane JaffardEmail author
  • Clothilde Mélot


This second part deals with the global analysis of the boundary of domains Open image in new window . We develop methods for determining the dimensions of the sets where the local behaviors introduced in Part 1 occur. These methods are based on analogies with the thermodynamic formalism in statistical physics and lead to new classification tools for fractal domains.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Laboratoire d’Analyse et de Mathématiques AppliquéesUniversité Paris XIICréteil CedexFrance
  2. 2.LATP, CMIUniversité de Provence 39 rue F. Joliot-CurieFrance

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