Mathematics – Probability
Scientific paper
Dec 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.259..652w&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 259, no. 4, p. 652-694.
Mathematics
Probability
141
Galactic Clusters, Galactic Evolution, Galactic Structure, Statistical Distributions, Fluctuation Theory, Gravitational Effects, Power Spectra
Scientific paper
A wide range of Gaussian and non-Guassian models of the origin of large-scale structure are analyzed with a variety of statistical measures of galaxy clustering. The Gaussian model with an n = -1 power spectrum, biased galaxy formation and Omega = 1 is the most successful at reproducing the full range of galaxy clustering data. Models with negatively skewed initial fluctuations create attractive structure, rich in voids, sheets, and filaments, without biased galaxy formation. However, these models have several quantitative defects. Skew-negative models also tend to make structure with excessively large voids and a bubble topology that contrasts with observations. Models with positively skewed initial fluctuations are less successful than Gaussian models in nearly every respect. The mass distribution is voidless and the structure is dominated by rich high-velocity dispersion clusters. Pancake models with a truncated initial power spectrum fail regardless of the initial probability distribution.
Cole Shaun
Weinberg David H.
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