Statistics – Computation
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...323l.103b&link_type=abstract
Astrophysical Journal, Part 2 - Letters to the Editor (ISSN 0004-637X), vol. 323, Dec. 15, 1987, p. L103-L106.
Statistics
Computation
75
Cosmology, Galactic Evolution, Mass Distribution, Algorithms, Computational Astrophysics, Dark Matter, Density Distribution, Monte Carlo Method, Random Processes, Statistical Distributions
Scientific paper
Path integrals may be used to describe the statistical properties of a random field such as the primordial density perturbation field. In this framework the probability distribution is given for a Gaussian random field subjected to constraints such as the presence of a protovoid or supercluster at a specific location in the initial conditions. An algorithm has been constructed for generating samples of a constrained Gaussian random field on a lattice using Monte Carlo techniques. The method makes possible a systematic study of the density field around peaks or other constrained regions in the biased galaxy formation scenario, and it is effective for generating initial conditions for N-body simulations with rare objects in the computational volume.
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