| Autor: |
Chapman, Sandra C., Hnat, B., Rowlands, G. (George), Watkins, Nicholas W. |
| Jazyk: |
angličtina |
| Rok vydání: |
2005 |
| Předmět: |
|
| ISSN: |
1023-5809 |
| Popis: |
Empirical determination of the scaling properties and exponents of time series presents a formidable challenge in testing, and developing, a theoretical understanding of turbulence and other out-of-equilibrium phenomena. We discuss the special case of self affine time series in the context of a stochastic process. We highlight two complementary approaches to the differenced variable of the data: i) attempting a scaling collapse of the Probability Density Functions which should then be well described by the solution of the corresponding Fokker-Planck equation and ii) using structure functions to determine the scaling properties of the higher order moments. We consider a method of conditioning that recovers the underlying self affine scaling in a finite length time series, and illustrate it using a Lévy flight.\ud |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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