Statistics – Computation
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.254..315w&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 254, Jan. 15, 1992, p. 315-342.
Statistics
Computation
50
Galactic Evolution, Gravitational Effects, Normal Density Functions, Universe, Computational Astrophysics, Dark Matter, Density Distribution, Many Body Problem, Power Spectra, Spatial Distribution
Scientific paper
This paper describes a method for recovering primordial fluctuations from the present-day galaxy distribution, on the assumption that these fluctuations were Gaussian. The key element of the method is 'Gaussianization', a monotonic transformation of the smoothed galaxy distribution, which exploits the fact that gravitational evolution and biased galaxy formation tend to preserve the rank order of the initial density field. In tests on N-body simulations with known initial conditions, the reconstruction procedure recovers accurate maps of the initial fluctuations from fully sampled, sparsely sampled, or biased data. Evolution of the reconstructed initial conditions yields credible reproductions of the input data. Reconstruction analysis can be used to derive the properties of primordial fluctuations, to constrain biased galaxy formation and the value of Omega, and to test the hypotheses of gravitional instability and Gaussian primordial fluctuations.
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