Scale-invariant clustering and primordial biasing

Statistics – Computation

Scientific paper

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Galactic Clusters, Galactic Evolution, Normal Density Functions, Space Density, Computational Astrophysics, Power Spectra

Scientific paper

If cosmic objects formed around the maxima of a scale-invariant (either Gaussian or non-Gaussian) density perturbation field, their correlation length and mean distance are proportional as suggested by the observations. Since the typical density contrast of a peak is v times greater than the field rms value, a size-independent, primordial threshold v is obtained whose magnitude depends only on the statistics; late nonlinear evolution would mainly affect the clustering properties of objects like galaxies. In this framework a simple, phenomenological model for the power-spectrum and a 'minimal,' isocurvature perturbation model are discussed.

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