On the existence of a nonzero mass density for a fractal set of independent pointlike masses with a power-type distribution (Q1288946)
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scientific article; zbMATH DE number 1289194
| Language | Label | Description | Also known as |
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| English | On the existence of a nonzero mass density for a fractal set of independent pointlike masses with a power-type distribution |
scientific article; zbMATH DE number 1289194 |
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On the existence of a nonzero mass density for a fractal set of independent pointlike masses with a power-type distribution (English)
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29 June 1999
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The concept of global mass density (GMD) for deterministic and stochastic fractals is considered. For the construction of stochastic fractal, the Lévy-Mandelbrot algorithm and its modification are used. The probability density of GMD is investigated for all these cases. The main result is that this distribution has a nondegenerate limit under the following condition on the connection between the exponent of mass distribution and fractal dimension \(D=3\alpha\).
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concept of global mass density
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deterministic and stochastic fractals
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Levy-Mandelbrot algorithm
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