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| Titel |
Universal multifractal Martian topography |
| VerfasserIn |
F. Landais, F. Schmidt, S. Lovejoy |
| 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 ; 22, no. 6 ; Nr. 22, no. 6 (2015-11-30), S.713-722 |
| Datensatznummer |
250121011
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| Publikation (Nr.) |
 copernicus.org/npg-22-713-2015.pdf |
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| Zusammenfassung |
| In the present study, we investigate the scaling properties of the
topography of Mars. Planetary topographic fields are well known to roughly
exhibit (mono)fractal behavior. Indeed, the fractal formalism reproduces much
of the variability observed in topography. Still, a single fractal dimension
is not enough to explain the huge variability and intermittency. Previous
studies have claimed that fractal dimensions might be different from one
region to another, excluding a general description at the planetary scale. In
this article, we analyze the Martian topographic data with a multifractal
formalism to study the scaling intermittency. In the multifractal paradigm,
the apparent local variation of the fractal dimension is interpreted as a
statistical property of multifractal fields. We analyze the topography
measured with the Mars Orbiter Laser altimeter
(MOLA) at 300 m horizontal resolution, 1 m vertical resolution. We adapted
the Haar fluctuation method to the irregularly sampled signal. The results
suggest a multifractal behavior from the planetary scale down to 10 km. From
10 to 300 m, the topography seems to be simple monofractal. This transition
indicates a significant change in the geological processes governing the Red
Planet's surface. |
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