Statistics – Computation
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...390..350s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 390, no. 2, May 10, 1992, p. 350-358. Research supported by NSF and OTKA.
Statistics
Computation
66
Computational Astrophysics, Correlation, Galactic Clusters, Analytic Functions, Autocorrelation, Bias, Numerical Analysis
Scientific paper
It is shown by using a new technique how the much-debated cluster correlation function is directly related to the high-order galaxy correlations. Mathematical techniques are adopted from biased galaxy formation: here the biasing simulates the detection of the clusters, rather than their dynamical formation. A simple, analytical example is given. As a practical application of the simplified model, a novel method to determine the amplitudes of the irreducible N-point correlation functions in the gravitational clustering hierarchy is also presented. The correlated Lick catalog is used to obtain values of q(N) up to N = 8, considerably beyond previous attempts. The catalog, obtained from the Lick sample, has amplifications similar to the rich clusters, and the galaxy-'cluster' cross-correlation is close to the geometric mean of the galaxy and cluster autocorrelations.
Boschan Peter
Szalay Alex S.
Szapudi István
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