Fractal geometry of Levy-based spatial-temporal random fields

Resource
Fractals-complex Geometry Patterns and Scaling in Nature and Society, 17(4), 505-511
Journal
Fractals-complex Geometry Patterns and Scaling in Nature and Society
Journal Volume
17
Journal Issue
4
Pages
505-511
Date Issued
2009
Date
2009
Author(s)
Shieh, Narn-Rueih
DOI
URI
Abstract
Let X = {X(t, x), t ∈ , x ∈ d} be a Lévy-based spatial-temporal random field proposed by BarndorffNielsen and Schmiegel 1 for dynamic modeling of turbulence. We describe some fractal geometry for this field, with a view toward a proper non-Gaussian aspect of Mandelbrot's paper.2 Recent progress on multifractal scalings of the stationary exponential processes is also reported, and is toward the intermittency fields proposed in Barndorff-Nielsen and Schmiegel. © 2009 World Scientific Publishing Company.
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journal article
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