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Fractals and Multifractals

  • Didier Sornette
Part of the Springer Series in Synergetics book series (SSSYN)

Abstract

During the third century BC, Euclid and his students introduced the concept of space dimension which can take positive integer values equal to the number of independent directions. A smooth line has dimension 1, a smooth surface has dimension 2 and our space (seen at large scales) has dimension 3.

Keywords

Fractal Dimension Wavelet Coefficient Scale Invariance Hausdorff Dimension River Network 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Didier Sornette
    • 1
    • 2
  1. 1.Institute of Geophysics and Planetary Physics and Department of Earth and Space Sciences, 3845 Slichter HallUniversity of CaliforniaLos AngelesUSA
  2. 2.Laboratoire de Physique de la Matière Condensée, CNRS UMR6622, Faculté des SciencesUniversité des SciencesNice Cedex 2France

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