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MULTIFRACTALS, GENERALIZED SCALE INVARIANCE AND COMPLEXITY IN GEOPHYSICS

Abstract : The complexity of geophysics has been extremely stimulating for developing concepts and techniques to analyze, understand and simulate it. This is particularly true for multifractals and Generalized Scale Invariance. We review the fundamentals, introduced with the help of pedagogical examples, then their abstract generalization is considered. This includes the characterization of multifractals, cascade models, their universality classes, extremes, as well as the necessity to broadly generalize the notion of scale to deal with anisotropy, which is rather ubiquitous in geophysics.
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https://hal-enpc.archives-ouvertes.fr/hal-00697559
Contributor : Daniel Schertzer Connect in order to contact the contributor
Submitted on : Tuesday, May 15, 2012 - 4:11:45 PM
Last modification on : Saturday, January 15, 2022 - 4:02:01 AM

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D Schertzer, S. Lovejoy. MULTIFRACTALS, GENERALIZED SCALE INVARIANCE AND COMPLEXITY IN GEOPHYSICS. International journal of bifurcation and chaos in applied sciences and engineering , World Scientific Publishing, 2011, 21 (12), pp.3417-3456. ⟨10.1142/S0218127411030647⟩. ⟨hal-00697559⟩

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