Skewness and large-scale structure

Details Skewness and large-scale structure Skewness and large-scale structure

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.253..727c&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 253, Dec. 15, 1991, p. 727-737.

Statistics

Computation

54

Computational Astrophysics, Cosmology, Galactic Clusters, Galactic Evolution, Astronomical Models, Density Distribution, Many Body Problem, Perturbation Theory, Red Shift, Universe

Scientific paper

The evolution of the skewness of the cosmological mass distribution into the nonlinear regime is discussed. Various analytical estimates of the skewness of initially Gaussian (i.e., unskewed) density perturbations are compared with each other, with N-body results, and with real clustering data. In general, the skewness is simply related to the rms mass fluctuation on the scale in question. The relationship can be used to construct a simple but potentially powerful test of the hypothesis that large-scale structure in the universe evolved from Gaussian initial conditions. The measured skewness of the QDOT-redshift-survey density distribution is compatible with the gravitational evolution of sufficiently high-amplitude Gaussian fluctuations. There is therefore no need to invoke non-Gaussian initial fluctuations to explain these data. The role of discreteness (i.e., shot noise) effects upon the interpretation of cell-count statistics is also discussed.

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