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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Article dans une revue
International Journal of Bifurcation and Chaos, World Scientific Publishing, 2011, 21 (12), pp.3417-3456. 〈10.1142/S0218127411030647〉
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https://hal-enpc.archives-ouvertes.fr/hal-00697559
Contributeur : Daniel Schertzer <>
Soumis le : mardi 15 mai 2012 - 16:11:45
Dernière modification le : jeudi 22 mars 2018 - 22:34:49

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D Schertzer, S. Lovejoy. MULTIFRACTALS, GENERALIZED SCALE INVARIANCE AND COMPLEXITY IN GEOPHYSICS. International Journal of Bifurcation and Chaos, World Scientific Publishing, 2011, 21 (12), pp.3417-3456. 〈10.1142/S0218127411030647〉. 〈hal-00697559〉

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