High-order correlations of rich galaxy clusters (original) (raw)

1995, The Astrophysical Journal

CORRELATION AND CLUSTERING Statistical properties of galaxy large scale structures

arXiv (Cornell University), 2001

In this lecture we clarify the basic difference between the correlation properties for systems characterized by small or large fluctuations. The concepts of correlation length, homogeneity scale, scale invariance and criticality are discussed as well. We relate these concepts to the interpretation of galaxy clsutering.

Very large-scale correlations in the galaxy distribution

2011

Abstract. We characterize galaxy correlations in the Sloan Digital Sky Survey by measuring several moments of galaxy counts in spheres. We firstly find that the average counts grows as a power-law function of the distance with an exponent D= 2.1±0.05 for r in[0.5, 20] Mpc/h and D= 2.8±0.05 for r in[30, 150] Mpc/h. In order to estimate the systematic errors in these measurements we consider the counts variance finding that it shows systematic finite-size effects which depend on the samples sizes.

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