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- W4301388520 abstract "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 peak of given curvature 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 algorithm is equivalent to, but much faster than, generating unconstrained random samples repeatedly until a sample is found satisfying the desired constraints to arbitrary precision. 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." @default.
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- W4301388520 date "1988-01-01" @default.
- W4301388520 modified "2023-09-25" @default.
- W4301388520 title "Path Integral Methods for Primordial Density Perturbations" @default.
- W4301388520 doi "https://doi.org/10.1017/s0074180900137192" @default.
- W4301388520 hasPublicationYear "1988" @default.
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