The supercluster-void network - III. The correlation function as a geometrical statistic (original) (raw)
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The supercluster-void network; 5, Alternative evidence for its regularity
1999
The distribution of Abell clusters of galaxies is analysed to study the regularity of the supercluster-void network. A new geometric method sensitive to the regularity of the location of clusters is applied. We find that the supercluster-void network resembles a cubical lattice over the whole space investigated. The distribution of rich superclusters is not isotropic: along the main axis of the network it is periodic with a step of length about 130 Mpc (for Hubble constant h=1), whereas along the diagonal of the network the period is larger. This large-scale inhomogeneity is compatible with recent CMB data
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Astron J, 2002
We study the spatial distribution of Abell and X-ray-selected clusters of galaxies from the ROSAT Bright Source Catalog and determine correlation functions for both cluster samples. We find that on small scales the correlation functions depend on the cluster environment: clusters in rich superclusters have a larger correlation length and amplitude than clusters of the whole sample. On large scales the correlation functions depend on the distribution of superclusters, but for both X-ray and Abell clusters they are oscillating with a period of ~115 h-1 Mpc, indicating the presence of a local peak in the power spectrum at an effective wavenumber k=0.055 h Mpc-1.
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2013
Abstract. We present a study of the shape, size, and spatial orientation of superclusters of galaxies. Approximating superclusters by triaxial ellipsoids we show that superclusters are flattened, triaxial objects. We find that there are no spherical superclusters. The sizes of superclusters grow with their richness: the median semi-major axis of rich and poor superclusters (having ≥8 and < 8 member clusters) is 42 and 31 h −1 Mpc, respectively. Similarly, the median semi-minor axis is 12 and 5 h −1 Mpc for rich and poor superclusters. The spatial orientation of superclusters, as determined from the axes of ellipsoids, is nearly random. We do not detect any preferable orientation of superclusters, neither with respect to the line of sight, nor relative to some other outstanding feature in the large scale structure, nor with respect to the directions of principal axes of adjacent superclusters.
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The supercluster-void network. IV. The shape and orientation of superclusters
Arxiv preprint astro-ph/ …, 1998
Abstract. We present a study of the shape, size, and spa-tial orientation of superclusters of galaxies. Approximat-ing superclusters by triaxial ellipsoids we show that super-clusters are flattened, triaxial objects. We find that there are no spherical superclusters. The sizes of ...
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The Evolution of the Supercluster-Void Network
Astronomy & Astrophysics, 1995
Recently, the observed cellular nature of the large-scale structure of the Universe with its quasi-regular pattern of superclusters and voids has been pointed out by several authors. In this paper, we investigate properties of the initial power spectrum which lead to prediction of structure consistent with these observations. For this purpose, we analyze the evolution of structure within four sets
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