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Astron. Astrophys. 331, 838-852 (1998)
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]](img1.gif)
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
Contents
- 1. Introduction
- 2. Redshift estimates for clusters of galaxies
- 3. Surface distribution of superclusters
- 4. Space distribution
- 5. Voids among superclusters
- 6. Correlation functions
- 7. Reliability of the results
- 8. Discussion
- Acknowledgements
- References
© European Southern Observatory (ESO) 1998
Online publication: March 3, 1998
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