Multifractal methodology
نویسندگان
چکیده
منابع مشابه
Multifractal Spectra and Multifractal Rigidity for Horseshoes
We discuss a general concept of multifractality, and give a complete description of the multifractal spectra for Gibbs measures on two-dimensional horseshoes. We discuss a multifractal characterization of surface diffeomorphisms.
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Using bi-parametric sweeping based on symbolic representation we reveal selfsimilar fractal structures induced by heteroand homoclinic bifurcations of saddle singularities in the parameter space of two systems with deterministic chaos. We start with the system displaying a few homoclinic bifurcations of higher codimension: resonant saddle, orbit-flip and inclination switch that all can give ris...
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This paper has two main objectives. First, it develops the multifractal formalism in a context suitable for both, measures and functions, deterministic as well as random, thereby emphasizing an intuitive approach. Second, it carefully discusses several examples, such as the binomial cascades and self-similar processes with a special eye on the use of wavelets. Particular attention is given to a...
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The Concentration-Area (C-A) method is applied to geochemical map patterns satisfying the model of De Wijs. Results derived for the spatial distribution of gold in altered Jurassic volcanic rocks in the MitchellSulphurets area of northwestern British Columbia confirm earlier multifractal modelling. However, the possibility of departures from the Pareto-type upper tail model of the frequency dis...
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Wave propagation is studied in a sufficiently anisotropic random medium where backscattering along one direction can be neglected. A Fokker-Planck equation, the solution to which would provide a complete statistical description of such directed waves, is derived. The Fokker-Planck equation is mapped onto an su(1,1) ferromagnet and its symmetries are identified. Using the symmetries, asymptotic ...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2017
ISSN: 0378-4371
DOI: 10.1016/j.physa.2017.01.041