Cluster correlations from N-point correlation amplitudes

I. Szapudi, A. S. Szalay, P. Boschán

Research output: Contribution to journalArticle

67 Citations (Scopus)


We show, by using a new technique, how the much-debated cluster correlation function is directly related to the higher order galaxy correlations. We adopt mathematical techniques from biased galaxy formation: here the biasing simulates the detection of the clusters, rather than their dynamical formation. A simple, analytical example is given. As a practical application of our simplified model, we also present a novel method to determine the amplitudes of the irreducible N-point correlation functions in the gravitational clustering hierarchy. We use the corrected Lick catalog to obtain values of qN up to N = 8, considerably beyond previous attempts. The catalog, obtained from the Lick sample, has amplifications similar to the rich clusters, and the galaxy-"cluster" cross-correlation is close to the geometric mean of the galaxy and cluster autocorrelations.

Original languageEnglish
Pages (from-to)350-358
Number of pages9
JournalAstrophysical Journal
Issue number2
Publication statusPublished - May 10 1992


  • Galaxies: clustering
  • Methods: numerical

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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