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Astron. Astrophys. 331, 838-852 (1998)

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Superclusters of galaxies

II. Distribution and correlation functions

M. Kalinkov, I. Valtchanov and I. Kuneva

Institute of Astronomy, Bulgarian Academy of Sciences, 72 Tsarigradsko Chausse blvd, 1784 Sofia, Bulgaria (e-mail: markal@phys.acad.bg, ivan@astro.acad.bg) (Fax: (359 2) 755-019)

Received 18 November 1996 / Accepted 17 September 1997

Abstract

Surface and space distributions of samples of superclusters of galaxies in the catalog of superclusters of Kalinkov & Kuneva (1995) - Paper I, is investigated. Galactic latitude selection and declination selection functions are found. The wavelet transform technique is used for the surface distribution. It is established that the structures of superclusters with highest density are in fact noise fluctuations. Gaussian smoothing and filtering is also used with the same result. Space distribution is presented and distance selection functions are estimated. We have found that the voids among superclusters of galaxies follow Poisson distributions in the 2D as well as in the 3D case. Two-point space correlation functions do not differ significantly from zero, but the crosscorrelation functions supercluster-cluster are well defined. Attempts are made to verify the conclusions. The main result is that superclusters located in galactic polar caps for the distance interval [FORMULA] are distributed randomly. There are no structures consisting of superclusters of galaxies.

Key words: (cosmology:) large-scale structure of Universe – galaxies: clusters: general – methods: statistical

Send offprint requests to: M. Kalinkov

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© European Southern Observatory (ESO) 1998

Online publication: March 3, 1998
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