How can we measure a correlation length of 5 - 10 Mpc when observations show structures extended over 150 Mpc?

Details How can we measure a correlation length of 5 - 10 Mpc when observations show structures extended over 150 Mpc? How can we measure a correlation length of 5 - 10 Mpc when observations show structures extended over 150 Mpc?

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997apl%26c..36...33d&link_type=abstract

Astrophysical Letters and Communications, Vol. 36, Nos. 1 - 6, p. 33 - 39

Astronomy and Astrophysics

Astrophysics

Galaxy Clustering: Correlation Analysis, Universe: Large-Scale Structure

Scientific paper

The authors have analysed the statistical properties of the redshift samples available in the LEDA database. They find that galaxies in this sample show very well defined fractal long-range correlation with dimension D ≍ 2. The authors have also studied the behaviour of the so-called "correlation length" r0 (ξ(r0) = 1) and find a clear dependence on the sample depth. Several tests have been performed to check the statistical robustness of these results with respect to the incompleteness of the sample. It is found that the correlation properties are stable up to r ≡ 150 Mpc, which is the maximum depth for which significant all-sky observations are available.

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