The significance of voids

Mathematics – Probability

Scientific paper

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51

Cosmology, Galactic Clusters, Galaxies, Spatial Distribution, Statistical Analysis, Void Ratio, Density Distribution, Probability Distribution Functions, Significance, Statistical Correlation, Statistical Distributions

Scientific paper

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.

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