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Published May 1, 1986 | Published
Journal Article Open

The significance of voids

Abstract

The statistical significance of voids in the spatial distribution of galaxies or clusters of galaxies is studied. The probability per unit volume of finding a large void is expressed in terms of correlation functions. Numerical simulations are used to estimate the likelihood of observing a large void in the distribution of rich clusters of galaxies, assuming that rich clusters arose wherever suitably averaged primordial density fluctuations were unusually large.

Additional Information

© 1986 American Astronomical Society. Provided by the NASA Astrophysics Data System. Received 1985 August 2; accepted 1985 October 23. We thank S. Coleman, R. P. Feynman and J. Salmon for helpful comments. This work was supported in part by the US DOE under contracts DEAC-03-81-WR40050 and DE-AT03-38-ER31118. MBW was supported in part by a DOE Outstanding Junior Investigator program under contract No. DE-GF03-84ER40172.

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