The Bull's-Eye Effect as a Probe of $\Omega$

Abstract

We compare the statistical properties of structures normal and transverse to the line of sight which appear in theoretical N-body simulations of structure formation, and seem also to be present in observational data from redshift surveys. We present a statistic which can quantify this effect in a conceptually different way from standard analyses of distortions of the power-spectrum or correlation function. From tests with $N$--body experiments, we argue that this statistic represents a new and potentially powerful diagnostic of the cosmological density parameter, ${\Omega }_0$.

Minor revisions; final version accepted for publication in ApJ Letters. Latex, 16 pages, including 3 figures. Higher resolution versions of figures, including supplementary figures not included in the manuscript, are available at: ftp://kusmos.phsx.ukans.edu/preprints/melott/omega

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