Amplification of cluster correlations: The effect of sharp clipping

I. Szapudi, Alexander S. Szalay

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume414
Issue number2
Publication statusPublished - Sep 10 1993

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clipping
amplification
galaxies
thresholds
effect
algebra
continuums
cells

Keywords

  • Galaxies: clustering
  • Methods: numerical

ASJC Scopus subject areas

  • Space and Planetary Science
  • Nuclear and High Energy Physics

Cite this

Amplification of cluster correlations : The effect of sharp clipping. / Szapudi, I.; Szalay, Alexander S.

In: Astrophysical Journal, Vol. 414, No. 2, 10.09.1993, p. 493-499.

Research output: Contribution to journalArticle

Szapudi, I. ; Szalay, Alexander S. / Amplification of cluster correlations : The effect of sharp clipping. In: Astrophysical Journal. 1993 ; Vol. 414, No. 2. pp. 493-499.
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