Mathematics – Probability
Scientific paper
May 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aas...212.2204l&link_type=abstract
American Astronomical Society, AAS Meeting #212, #22.04; Bulletin of the American Astronomical Society, Vol. 40, p.220
Mathematics
Probability
Scientific paper
The ellipsoidal collapse model is a modification of the Zeldovich Approximation which specifies how an initial fluctuation field can be mapped to a final one, even when the mapping is rather nonlinear. I show how this allows an accurate prediction of the real and redshift space smoothed dark matter probability distribution functions. This mapping also motivates a method for reconstructing the initial field from the nonlinear one. Application of this method to the highly non-Gaussian non-linear density field in a numerical simulation yields an accurate estimate of the initial Gaussian field from which it evolved.
Lam Tsz Yan
Sheth Ravi K.
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