The normalization of the correlation functions for extragalactic structures

Details The normalization of the correlation functions for extragalactic structures The normalization of the correlation functions for extragalactic structures

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...198....1c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 198, no. 1-2, June 1988, p. 1-15.

Statistics

Computation

28

Cosmology, Galactic Clusters, Computational Astrophysics, Fractals, Statistical Correlation

Scientific paper

It is shown that the spatial two-point correlation functions for galaxies, clusters and superclusters depend explicitly on the spatial volume of the statistical sample considered. Rules for the normalization of the correlation functions are given and the traditional classification of galaxies into field galaxies, clusters and superclusters is replaced by the introduction of a single fractal structure, with a lower cut-off at galactic scales. The roles played by random and stochastic fractal components in the galaxy distribution are discussed in detail.

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