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Geomorphological width functions and the random cascade
Author(s) -
Marani Marco,
Rinaldo Andrea,
Rigon Riccardo,
RodriguezIturbe Ignacio
Publication year - 1994
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/94gl01933
Subject(s) - multifractal system , cascade , fractal , statistical physics , formalism (music) , singularity , geology , gravitational singularity , physics , mathematics , geometry , mathematical analysis , art , musical , chemistry , chromatography , visual arts
We examine the geomorphological width functions of several river basins through the formalism of conservative (microcanonical) 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.