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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 |
2198-5634
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics Discussions ; 2, no. 4 ; Nr. 2, no. 4 (2015-07-18), S.1007-1031 |
| Datensatznummer |
250115181
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| Publikation (Nr.) |
 copernicus.org/npgd-2-1007-2015.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 is 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 an other,
excluding a general description at the planetary scale. In this article, we
are analyzing 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 laser
altimeter MOLA at 300 m horizontal resolution, 1 m vertical
resolution. We adapted the Haar fluctuation method to the the irregularly
sampled signal. The results suggest a multifractal behavior from planetary
scale down to 10 km. From 10 km 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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