Dynamics of gravitational clustering IV. The probability distribution of rare events

Astronomy and Astrophysics – Astrophysics

Scientific paper

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27 pages, final version published in A&A

Scientific paper

10.1051/0004-6361:20011673

Using a non-perturbative method developed in a previous article (paper II) we investigate the tails of the probability distribution $P(\rho_R)$ of the overdensity within spherical cells. We show that our results for the low-density tail of the pdf agree with perturbative results when the latter are finite (up to the first subleading term), that is for power-spectra with $-3

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