Fragmenting the universe. II - Voronoi vertices as Abell clusters

Details Fragmenting the universe. II - Voronoi vertices as Abell clusters Fragmenting the universe. II - Voronoi vertices as Abell clusters

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...213....1v&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 213, no. 1-2, April 1989, p. 1-9.

Mathematics

75

Astronomical Models, Cosmology, Galactic Clusters, Partitions (Mathematics), Statistical Correlation, Universe, Fragmentation, Hubble Constant, Mass Distribution

Scientific paper

The large-scale structure of the universe (around 50 Mpc) can be described by means of 'Voronoi foam', which is a partitioning of space obtained by a process called Voronoi tesselation. The first results of a comparison between the statistics of Voronoi foams and the observed galaxy distribution are presented. In particular, it is shown that the spatial two-point correlation function of Voronoi vertices has a power law behavior with almost the same amplitude and slope as that of the Abell clusters. This confirms earlier expectations that Voronoi nodes are to be identified with high-density galaxy clusters in the universe.

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