Higher order correlation functions for quasars

Details Higher order correlation functions for quasars Higher order correlation functions for quasars

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...444..548p&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 444, no. 2, p. 548-555

Mathematics

Galactic Clusters, Hierarchies, Mathematical Models, Points (Mathematics), Quasars, Normal Density Functions, Red Shift, Spatial Distribution, Weighting Functions

Scientific paper

The number of QSOs included in available complete samples already exceeds 1600. We evaluate their three- and four-point correlation functions and obtain 0.15 +/- 0.05 less than or equal to Q less than or equal to 1.30 +/- 0.37 and Q4 less than or equal to 4.9 +/- 1.9, respectively. The available fair samples are still the sum of a number of disconnected areas. Inside all of them the average distance between nearby QSOs widely exceeds the correlation distance. As a consequence of this low density, the values allowed for Q and Q4 are quantized, although the quantized levels depend on the characteristics of each connected subsample area. We give a quantitative evaluation of how denser and wider the connected subsamples should be, in order that limits on n-point functions can be substantially improved and apparent quantization effects can be overcome.

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