Higher order correlation functions in the Zwicky catalogue

Details Higher order correlation functions in the Zwicky catalogue Higher order correlation functions in the Zwicky catalogue

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...130...79s&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 130, no. 1, Jan. 1984, p. 79-85. Research supported by the Consiglio Nazionale

Astronomy and Astrophysics

Astrophysics

63

Astrometry, Astronomical Catalogs, Galactic Clusters, Astronomical Coordinates, Correlation

Scientific paper

A new method is proposed for analyzing the n-point correlation functions. The method is applied to the three-, the four-, and (partially) to the five-point correlations in the Zwicky catalog. The amount of computation is substantially reduced, but this is at the expense of versatility. In particular, the assumption of a different model for the higher order correlation functions would require considerable modification of the formulas. Although the three-point function is clearly detected, the four-point function is close to the noise level. The results are compared with earlier derivations. Theoretical calculations are included for n = 4: a tentative estimate of the five-point function reveals that it is almost completely lost in the noise.

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