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| Titel |
Beyond multifractional Brownian motion: new stochastic models for geophysical modelling |
| VerfasserIn |
J. Lévy Véhel |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 20, no. 5 ; Nr. 20, no. 5 (2013-09-11), S.643-655 |
| Datensatznummer |
250086046
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| Publikation (Nr.) |
 copernicus.org/npg-20-643-2013.pdf |
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| Zusammenfassung |
| Multifractional Brownian motion (mBm) has proved to be a useful tool in
various areas of geophysical modelling. Although a versatile model, mBm is of
course not always an adequate one. We present in this work several other
stochastic processes which could potentially be useful in geophysics. The
first alternative type is that of
self-regulating processes: these are models where the local
regularity is a function of the amplitude, in contrast to mBm where it is
tuned exogenously. We demonstrate the relevance of such models for digital
elevation maps and for temperature records. We also briefly describe two
other types of alternative processes, which are the counterparts of mBm and
of self-regulating processes when the intensity of local jumps is considered
in lieu of local regularity: multistable processes allow one to
prescribe the local intensity of jumps in space/time, while this intensity is
governed by the amplitude for self-stabilizing processes. |
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