Results 221 to 230 of about 9,107 (262)

Fractal Statistics of Cloud Fields

Monthly Weather Review, 1989
Landsat Multispectral Scanner (MSS) and Thematic Mapper (TM) data, with 80 and 30 m spatial resolution, respectively, have been employed to study the spatial structure of boundary-layer and intertropical convergence zone (ITCZ) clouds. The probability distributions of cloud areas and cloud perimeters are found to approximately follow a power-law, with ...
Robert F. Cahalan, Joachim H. Joseph
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No fractals in fossil extinction statistics

Nature, 1998
Statistical analyses of the fossil record seek to discover the mechanisms controlling biotic diversity throughout the Earth's history. Sole et al.1 reported that many extinction time series are statistically self-similar, with 1/f power spectra, suggesting that extinctions are driven by self-organized criticality or by other scale-free internal ...
James W. Kirchner, Anne Weil
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Fractal statistics in biology

Physica D: Nonlinear Phenomena, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractal behavior in quantum statistical physics

Physical Review E, 1999
The properties of an ideal gas of spinless particles are investigated by using the path integral formalism. It is shown that the quantum paths exhibit a fractal character which remains unchanged in the relativistic domain provided the creation of new particles is avoided, and the Brownian motion remains the stochastic process associated with the ...
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Fractal statistics of the Storegga Slide

2007
The statistics of submarine mass movement inventories are poorly characterised in comparison to those of subaerial mass movements. In this study we investigate the aggregate behaviour of the Storegga Slide by carrying out a statistical analysis of its constituent mass movements.
Micallef, A., Berndt, C., Masson, D.G., Stow, D.A.V.   +3 more
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Statistical evaluation of fractal coding schemes

Proceedings., International Conference on Image Processing, 2002
This paper reports on investigations concerning the convergence of the reconstruction process in fractal coding schemes from a statistical point of view. For a rather general family of "fractal operators" a necessary and sufficient condition for the convergence based on the spectral radius of the fractal operator is provided.
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Statistical sampling and fractal distributions

The Mathematical Intelligencer, 1996
We report here on work that has its origin in a problem of statistical sampling and that has extended over more than a few years. There are connections with several other areas of mathematics, including convex analysis, tomography, and, perhaps more surprisingly, fractal geometry and iterated function systems.
Gerow, Ken, Holbrook, John
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Statistics of local environments in fractals

Physics Letters A, 1992
Abstract The study of random configurations of Sierpinski carpets enables us to observe the fluctuations and mean values of local connectedness. The law of variation of these mean values with the order of iteration is deduced numerically in exact agreement with analytical considerations where new “simplex” statistical subdimensions appear.
Pascal Monceau, Jean-Claude Serge Levy, Michel Perreau   +2 more
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Statistically self-similar fractals

Probability Theory and Related Fields, 1987
Let X be a complete separable bounded metric space and \(\mu\) a Borel probability measure on the space \(Con(X)^ N\) of all N-tuples of contractions of X with the topology of pointwise convergence. Then there exists a unique \(\mu\)-self-similar probability measure \(P_{\mu}\) on the space \({\mathcal K}(X)\) of all non-empty compact subsets of X ...
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Fractal Structure and Statistics of Growing Patterns with Competition

Fractals, 1997
A pattern grown from a substrate is in many cases regarded as consisting of individual clusters grown from the substrate. One can then discuss fractal structures of both the entire pattern and individual clusters constituting it. One can also investigate statistics of individual clusters such as their size distribution in the entire pattern.
Moriyama, Osamu, Murata, Katsuyuki, Matsushita, Mitsugu   +2 more
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