Statistics – Computation
Scientific paper
Nov 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988pasp..100.1307g&link_type=abstract
Astronomical Society of the Pacific, Publications (ISSN 0004-6280), vol. 100, Nov. 1988, p. 1307-1313.
Statistics
Computation
6
Astronomical Models, Computational Astrophysics, Cosmology, Topology, Universe, Dark Matter, Galactic Clusters, Neutrinos, Power Spectra
Scientific paper
An algorithm for quantitatively measuring the topology of large-scale structure has now been applied to a large number of observational data sets. The present paper summarizes and provides an overview of some of these observational results. On scales significantly larger than the correlation length, larger than about 1200 km/s, the cluster and galaxy data are fully consistent with a sponge-like random phase topology. At a smoothing length of about 600 km/s, however, the observed genus curves show a small shift in the direction of a meatball topology. Cold dark matter (CDM) models show similar shifts at these scales but not generally as large as those seen in the data. Bubble models, with voids completely surrounded on all sides by wall of galaxies, show shifts in the opposite direction. The CDM model is overall the most successful in explaining the data.
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