Amplification of cluster correlations: The effect of sharp clipping

István Szapudi, Alexander S. Szalay

Research output: Article

5 Citations (Scopus)


In this paper the method of generating functions is used to describe how cluster correlations arise from the galaxy correlations. As a model we use a "sharp clipping" algorithm: we identify clusters as cells with density exceeding a certain threshold. We provide the generating function of the two- and three-point correlation functions of the resulting cumulative distribution, yielding the correlation functions for any threshold. The generating function can be expanded either with computer algebra or with analytic calculations. We evaluate two special cases which can be solved analytically and investigate their continuum limit properties. It is shown that the shape of the cluster correlation function is always identical to the galaxy correlation function and we calculate the amplification for these special cases. The theoretical results agree reasonably well with known observations.

Original languageEnglish
Pages (from-to)493-499
Number of pages7
JournalAstrophysical Journal
Issue number2
Publication statusPublished - szept. 10 1993


ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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