Galaxy N-point correlation functions - Theoretical amplitudes for arbitrary N

Details Galaxy N-point correlation functions - Theoretical amplitudes for arbitrary N Galaxy N-point correlation functions - Theoretical amplitudes for arbitrary N

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...277l...5f&link_type=abstract

Astrophysical Journal, Part 2 - Letters to the Editor (ISSN 0004-637X), vol. 277, Feb. 1, 1984, p. L5-L8.

Mathematics

Probability

116

Bbgky Hierarchy, Correlation, Galactic Clusters, Combinatorial Analysis, Cosmology

Scientific paper

A method for computing the amplitudes Q(N) of the correlation functions relating galactic N-point and two-point functions is presented for the case of the BBGKY hierarchy. Graph-theory combinatorics are used to obtain an expression for Q(N) in terms of N and Q, the reduced three-point amplitude. This can then be applied to compute the probability of large void regions in the model galactic distribution. The Q(N) values are also compared with theoretical constraints derived using a Schwarz inequality.

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