Geomorphological width functions and the random cascade

Details Geomorphological width functions and the random cascade Geomorphological width functions and the random cascade

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994georl..21.2123m&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 21, no. 19, p. 2123-2126

Mathematics

12

Geomorphology, Rivers, Statistical Analysis, Structural Basins, Formalism, Fourier Transformation, Legendre Functions, Power Spectra, Robustness (Mathematics)

Scientific paper

We rexamine the geomorphological width functions of several river basins through the formalism of conservative (microanonical) random cascades and we compare the results with those of more conventional fractal and multifractal analyses . We suggest that the spatial patterns of aggregation described by the width functions analyzed show common recurrent characters and that the implications of the robust identification of the singularity spectra via Legendre transforms are supported also by random cascade rationale.

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