Cluster correlations with general thresholds

Statistics – Computation

Scientific paper

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Galactic Clusters, Galactic Evolution, Astronomical Models, Computational Astrophysics, Cosmology, Dark Matter

Scientific paper

In this investigation of cluster correlations with general thresholds, the approach of Borgani and Bonometto (1989, 1990) was followed to derive a general formalism for threshold functions, other than the sharp one, acting on a non-Gaussian background. Two specific examples of threshold functions are considered, the erfc threshold and the Gaussion threshold, and are related to nonsphericity in gravitational growing and to merging effects, respectively. The statistics of the distribution of objects arising from such thresholds is investigated. The results of these models are compared with observational data on the rich-cluster two-point correlation function for cold dark matter and for scale-free spectrum, both with a Gaussian background.

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