Random Processes with Stationary Increments and Composite Spectra

A technique for deriving and interpreting fractal geophysical processes with power-law spectra of a different nature is described. Examples include the energy spectra of atmospheric processes and their role in the mixing of impurities, the frequency spectra of sea wind waves, and the spatial spectra...

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Bibliographic Details
Published in:Izvestiya. Atmospheric and oceanic physics 2020-07, Vol.56 (4), p.364-372
Main Authors: Golitsyn, G. S., Fortus, M. I.
Format: Article
Language:English
Subjects:
Atmospheric processes
Climatology
Earth and Environmental Science
Earth Sciences
Energy spectra
Frequency spectra
Frequency spectrum
Geophysics/Geodesy
Impurities
Random processes
Solar system
Spectra
Wind waves
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Summary:A technique for deriving and interpreting fractal geophysical processes with power-law spectra of a different nature is described. Examples include the energy spectra of atmospheric processes and their role in the mixing of impurities, the frequency spectra of sea wind waves, and the spatial spectra of the surface relief of celestial bodies in the solar system. A.N. Kolmogorov’s works in the early 1930s, which were subsequently developed by his followers A.M. Obukhov, A.S. Monin, A.M. Yaglom, and others, are the most important for this. Kolmogorov’s probabilistic laws serve as a model for the analysis of the processes under consideration by methods of the similarity and dimensionality theory.
ISSN:0001-4338
1555-628X
DOI:10.1134/S0001433820030081