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FRACTAL GEOMETRIES IN DECAY MODELS
Journal of Physics A: Mathematical and General, 1984Results of computer studies of the geometries produced by two distinct decay models are present. While one of the models (diffusion-limited decay) results in compact clusters, the other (random-walk decay) produces ramified clusters with the Hausdorf dimension (df) equal to 1.75+or-0.03 and 2.34+or-0.03 in two and three dimensions respectively.
J R Banavar, M Muthukumar, J F Willemsen
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Fractal Geometry of Helicity Amplitude
Fractals, 1997Fractal geometry is in use to get lucid and visual explanation of many a natural and complex phenomena. High Energy Scattering process is quite complex a happening in science. Several methods are available to explain the events linked with high energy scattering.
Mohanty, S., Nayak, S. N.
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DETERMINISTIC FRACTAL GEOMETRY AND PROBABILITY
International Journal of Bifurcation and Chaos, 1994A possible connection between deterministic fractal geometry and the most important probabilistic models (Gaussian distribution and Brownian motion) is exhibited.
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Einstein’s dream and fractal geometry
Chaos, Solitons & Fractals, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Fractal Geometry of Evolution
Journal of Theoretical Biology, 1993This study is aimed at showing that the fractal geometry of taxonomic systems (Burlando, 1990) reflects self-similar evolutionary pattern. Evidence is achieved by three steps: (i) examination of taxonomic data from the fossil record; (ii) examination of taxonomic data from phylogenetic systematics; (iii) comparisons among different levels of the ...
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Rivista di biologia, 2009
The extension of the concepts of Fractal Geometry (Mandelbrot [1983]) toward the life sciences has led to significant progress in understanding complex functional properties and architectural / morphological / structural features characterising cells and tissues during ontogenesis and both normal and pathological development processes. It has even been
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The extension of the concepts of Fractal Geometry (Mandelbrot [1983]) toward the life sciences has led to significant progress in understanding complex functional properties and architectural / morphological / structural features characterising cells and tissues during ontogenesis and both normal and pathological development processes. It has even been
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1991
Examples of fractal geometry abound. As mentioned earlier, the fractal dimension, dF, is constrained by the topological dimension, dT, from below and the Euclidean dimension, dE, from above. The fractal dimension of a rugged line on the plane with an Euclidean dimension of 2 is between 1 and 2, as demonstrated in Figure 2–5.
L. T. Fan, D. Neogi, M. Yashima
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Examples of fractal geometry abound. As mentioned earlier, the fractal dimension, dF, is constrained by the topological dimension, dT, from below and the Euclidean dimension, dE, from above. The fractal dimension of a rugged line on the plane with an Euclidean dimension of 2 is between 1 and 2, as demonstrated in Figure 2–5.
L. T. Fan, D. Neogi, M. Yashima
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Fractal Geometry: Mathematical Foundations and Applications
, 1990K. Falconer
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