The Mesofractal Universe Driven by Rayleigh-Lèvy Walks

Details The Mesofractal Universe Driven by Rayleigh-Lèvy Walks The Mesofractal Universe Driven by Rayleigh-Lèvy Walks

Jul 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004gregr..36.1689u&link_type=abstract

General Relativity and Gravitation, v. 36, Issue 7, p. 1689-1717 (2004).

Mathematics

Probability

Scientific paper

The report is devoted to the description of the observed non-homogeneous structure of the Universe in terms of the walk model with a transition probability of the inverse power type called the Rayleigh-Lèvy (RL) walk. This model contains four free parameters. An appropriate choice of them yields the mesofractal structure, revealing fractal properties on small scales and looking like a homogeneous medium on large scales. This approach can be considered as some kind of descriptive statistics allowing to extract necessary characteristics of the structure using a few parameters.

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