Articles | Volume 22, issue 6
Research article
30 Nov 2015
Research article |  | 30 Nov 2015

Universal multifractal Martian topography

F. Landais, F. Schmidt, and S. Lovejoy

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Cited articles

Aharonson, O., Zuber, M. T., and Rothman, D. H.: Statistics of Mars' topography from the Mars orbiter laser altimeter: slopes, correlations, and physical Models, J. Geophys. Res.-Planet., 106, 23723–23735,,
Baldassarri, A., Montuori, M., Prieto-Ballesteros, O., and Manrubia, S. C.: Fractal properties of isolines at varying altitude revealing different dominant geological processes on Earth, J. Geophys. Res., 113, E09002,, 2008.
Gagnon, J.-S., Lovejoy, S., and Schertzer, D.: Multifractal earth topography, Nonlin. Processes Geophys., 13, 541–570, 2006.
Gilbert, L.: Are Topographic Data Sets Fractal?, in: Fractals in Geophysics, edited by: Scholz, C. H. and Mandelbrot, B. B., Pure Appl. Geophys., 131, 241–254, 1989.
Kreslavsky, M. A. and Head, J. W.: Kilometer-scale roughness of Mars: results from MOLA data analysis, J. Geophys. Res.-Planet., 105, 26695–26711, 2000.
Short summary
In the present study, we investigate the scaling properties of the topography of Mars. Planetary topographic fields are well known to exhibit (mono)fractal behavior. Indeed, fractal formalism is efficient in reproducing the variability observed in topography. Our results suggest a multifractal behavior from the planetary scale down to 10 km. From 10 km to 300 m, the topography seems to be simple monofractal.