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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

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Publication:1288946
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DOI10.1007/BF02432346zbMath0946.60015MaRDI QIDQ1288946

D. A. Korobko, Vladimir V. Uchaikin

Publication date: 29 June 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

concept of global mass densitydeterministic and stochastic fractalsLevy-Mandelbrot algorithm


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Geometric probability and stochastic geometry (60D05) Astrophysical cosmology (85A40)




Cites Work

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  • On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
  • The fractal structure of the universe: Correlations of galaxies and clusters and the average mass density
  • The exactly resolved nonlattice model of random media based on Markov walks with a stable law for jumps
  • The 'fitting problem' in cosmology
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