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| Titel |
Generalized binomial multiplicative cascade processes and asymmetrical multifractal distributions |
| VerfasserIn |
Q. Cheng |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 21, no. 2 ; Nr. 21, no. 2 (2014-04-04), S.477-487 |
| Datensatznummer |
250120907
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| Publikation (Nr.) |
 copernicus.org/npg-21-477-2014.pdf |
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| Zusammenfassung |
| The concepts and models of multifractals have been employed in various fields
in the geosciences to characterize singular fields caused by nonlinear
geoprocesses. Several indices involved in multifractal models, i.e.,
asymmetry, multifractality, and range of singularity, are commonly used to
characterize nonlinear properties of multifractal fields. An understanding of
how these indices are related to the processes involved in the generation of
multifractal fields is essential for multifractal modeling. In this paper, a
five-parameter binomial multiplicative cascade model is proposed based on the
anisotropic partition processes. Each partition divides the unit set (1-D
length or 2-D area) into h equal subsets (segments or subareas) and m1
of them receive d1 (> 0) and m2 receive d2 (> 0) proportion of
the mass in the previous subset, respectively, where m1+m2 ≤ h. The
model is demonstrated via several examples published in the literature with
asymmetrical fractal dimension spectra. This model demonstrates the various
properties of asymmetrical multifractal distributions and multifractal
indices with explicit functions, thus providing insight into and an
understanding of the properties of asymmetrical binomial multifractal
distributions. |
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