Cosmological density fluctuations and largescale structure From Npoint correlation functions to the probability distribution
Abstract
Knowledge of Npoint correlation functions for all N allows one to invert and obtain the probability distribution of mass fluctuations in a fixed volume. This method is applied to the hierarchical sequence of higher order correlations with dimensionless amplitudes suggested by the BBGKY equations. The resulting distribution is significantly nonGaussian, even for quite small mean square fluctuations. The qualitative and to some degree quantitative results are to a large degree independent of the exact sequence of amplitudes. An ensemble of such models compared with Nbody simulations fails to account for the lowdensity frequency distribution.
 Publication:

The Astrophysical Journal
 Pub Date:
 February 1985
 DOI:
 10.1086/162859
 Bibcode:
 1985ApJ...289...10F
 Keywords:

 Computational Astrophysics;
 Cosmology;
 Galactic Clusters;
 Correlation;
 Density Distribution;
 Probability Distribution Functions;
 Astrophysics