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Nonlinear clustering in the CfA redshift survey

Journal Article · · Astrophysical Journal; (USA)
DOI:https://doi.org/10.1086/185637· OSTI ID:6997217
; ;  [1]
  1. Paris Observatoire, Meudon (France) Ecole Polytechnique, Palaiseau (France) Paris VII Universite (France) CEA, Service de Physique Theorique de Saclay, Gif-sur-Yvette (France)
The probability of finding a hole in a randomly placed sphere of volume V has been considered in the Cfa survey by numerous authors. The main emphasis of these studies has been on a scaling law derived from the assumption of hierarchical clustering. Here, the counts in cell statistics P(N) in the CfA redshift survey are analyzed. The results show that the general behavior of the P(N) can be predicted on the sole assumption of the hierarchical hypothesis. Scaling forms can then be predicted which appear to be verified to a fairly good extent in the Cfa redshift survey. This implies that the hypothesis of scale-invariant many-body correlations function provides for a satisfactory description of the count-in-cell statistics. 23 refs.
OSTI ID:
6997217
Journal Information:
Astrophysical Journal; (USA), Journal Name: Astrophysical Journal; (USA) Vol. 349; ISSN ASJOA; ISSN 0004-637X
Country of Publication:
United States
Language:
English

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