MULTIFRACTALS, GENERALIZED SCALE INVARIANCE AND COMPLEXITY IN GEOPHYSICS

被引：80
|
作者：
Schertzer, Daniel [1 ]
Lovejoy, Shaun [2 ]
机构：
[1] Univ Paris Est, Ecole Ponts ParisTech, LEESU, F-77455 Marne La Vallee 2, France
[2] McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 12期
关键词：
Multifractals; generalized scale invariance; scaling; geophysics; PHASE-TRANSITIONS; STOCHASTIC RESONANCE; TURBULENCE; DYNAMICS; RAINFALL; THERMODYNAMICS; PREDICTABILITY; SINGULARITIES; VARIABILITY; FRACTALS;
D O I：
10.1142/S0218127411030647
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：3417 / 3456
页数：40
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