Mathematics – Probability
Scientific paper
Dec 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.259..494p&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 259, no. 3, p. 494-504.
Mathematics
Probability
140
Galactic Clusters, Power Spectra, Spatial Distribution, Correlation, Red Shift, Universe
Scientific paper
A power-spectrum analysis of the very large-scale spatial inhomogeneities in the distribution of Abell clusters is presented. The data used consist of an all-sky sample volume-limited at redshift less than 0.08, containing a total of 427 clusters, for which the completeness of spectroscopic redshifts is 92 percent for richness class R of not less than 1, and 85 percent for R = 0. The evidence for clustering anisotropies in redshift space is reexamined in order to determine whether the cluster selection probability is uniform on the sky. For the R = 0 clusters, a very strong anisotropy signal is found: there appear to be many pairs of clusters which are close on the sky, but lie at very different redshifts. For R of not less than 1 clusters, this effect is absent: there is no evidence that the close pairs of clusters reflect anything other than true spatial correlations. On large scales, the analysis detects significant inhomogeneities in the cluster distribution with wavelengths greater than 100/h Mpc. The distribution of Abell clusters adds further evidence to previous indications that the power spectrum of galaxy clustering has a break, with reduced power for wavelengths greater than about 100/h Mpc.
Peacock John A.
West Michael J.
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