Galaxies - Fractal dimensions, counts in cells, and correlations

Details Galaxies - Fractal dimensions, counts in cells, and correlations Galaxies - Fractal dimensions, counts in cells, and correlations

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...335l..43b&link_type=abstract

Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 335, Dec. 15, 1988, p. L43-L46.

Mathematics

Probability

38

Fractals, Galactic Clusters, Spatial Distribution, Statistical Correlation, Galactic Radiation, Luminosity, Matter (Physics), Probability Theory

Scientific paper

Under the sole assumption of scale invariance of the many-body galaxy correlation functions, the authors calculate the cluster luminosity function, and in particular show that it is a power law with an upper and a lower cutoff. They show that this behavior induces a galaxy distribution that is characterized by two fractal dimensions, 3 - γ in the clustered regions and (3 - γ)ω in the nearly empty region. The parameter ω is related to the behavior of the void probability function at large scales, and this second dimension exists because large voids are present with a significant probability.

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