Statistics – Computation
Scientific paper
Jul 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apjs...87..179r&link_type=abstract
Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 87, no. 1, p. 179-195.
Statistics
Computation
1
Computational Astrophysics, Galactic Clusters, Astronomical Catalogs, Correlation Coefficients
Scientific paper
The study presents a method for evaluating multipoint correlation functions using the analysis of the structure of a 'binary tree' which spans the particular set of galaxies under consideration. A recursive center-of-mass transformation is used and a binary tree data structure is compiled. For a large number of particles, N, the computational expense for constructing the tree increases as N log N. The M-point correlation functions are also determined by recursively scanning the nodes of the tree and binning the m-tuplets discovered by the scan. Gains of more than two orders of magnitude in computational speed are attained for that possible by direct counting of m-tuplets. This permits the examination of much larger data sets or of higher-order correlation than has been possible thus far.
Porter David H.
Ruffa Gregory J.
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