Higher order statistics from the APM galaxy survey

I. Szapudi, Gavin B. Dalton, George Efstathiou, Alexander S. Szalay

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

We apply a new statistics, the factorial moment correlators, to density maps obtained from the APM survey The resulting correlators are all proportional to the two-point correlation function, substantially amplified with an amplification nearly exponential with the total rank of the correlators. This confirms the validity of the hierarchical clustering assumption on the dynamic range examined, corresponding to 0.5-50 h-1 Mpc in three-dimensional space. The Kirkwood superposition with loop terms is strongly rejected. The structure coefficients of the hierarchy are also fitted. The high quality of the APM catalog enabled us to disentangle the various contributions from the power spectrum, small-scale nonlinear clustering, and combinatorial effects, all of which affect the amplification of the correlators. These effects should appear in correlations of clusters in a similar fashion.

Original languageEnglish
Pages (from-to)520-531
Number of pages12
JournalAstrophysical Journal
Volume444
Issue number2
Publication statusPublished - May 10 1995

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correlators
amplification
statistics
galaxies
hierarchies
dynamic range
catalogs
power spectra
moments
effect
coefficients

Keywords

  • Galaxies: cluster: general
  • Large-scale structure of universe
  • Methods: statistical

ASJC Scopus subject areas

  • Space and Planetary Science
  • Nuclear and High Energy Physics

Cite this

Szapudi, I., Dalton, G. B., Efstathiou, G., & Szalay, A. S. (1995). Higher order statistics from the APM galaxy survey. Astrophysical Journal, 444(2), 520-531.

Higher order statistics from the APM galaxy survey. / Szapudi, I.; Dalton, Gavin B.; Efstathiou, George; Szalay, Alexander S.

In: Astrophysical Journal, Vol. 444, No. 2, 10.05.1995, p. 520-531.

Research output: Contribution to journalArticle

Szapudi, I, Dalton, GB, Efstathiou, G & Szalay, AS 1995, 'Higher order statistics from the APM galaxy survey', Astrophysical Journal, vol. 444, no. 2, pp. 520-531.
Szapudi I, Dalton GB, Efstathiou G, Szalay AS. Higher order statistics from the APM galaxy survey. Astrophysical Journal. 1995 May 10;444(2):520-531.
Szapudi, I. ; Dalton, Gavin B. ; Efstathiou, George ; Szalay, Alexander S. / Higher order statistics from the APM galaxy survey. In: Astrophysical Journal. 1995 ; Vol. 444, No. 2. pp. 520-531.
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