Galaxy density in biased theories of galaxy origin

Statistics – Computation

Scientific paper

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Density Distribution, Galactic Clusters, Galactic Evolution, Gravitational Collapse, Computational Astrophysics, Correlation, Galactic Structure, Thresholds

Scientific paper

Expected advances in group and cluster analysis, based on spatial galaxy samples, are likely to require an improvement of the bias assumptions, to fit data corresponding to different density contrasts. Effects due to nonsphericity in primeval collapses and/or to the absorption of smaller-scale structures inside greater ones, when the latter undergo nonlinear growth, can be described by replacing the 0/threshold by more physical threshold functions. Expressions for the expected galaxy number densities, for arbitrary threshold and arbitrary (Gaussian or non-Gaussian) background distributions, are given. Two particular threshold functions, related to the above physical effects, are studied in more detail.

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