Gaussian random fields in spherical coordinates

Details Gaussian random fields in spherical coordinates Gaussian random fields in spherical coordinates

Apr 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.249..678b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 249, April 15, 1991, p. 678-683.

Statistics

Computation

18

Computational Astrophysics, Galactic Clusters, Normal Density Functions, Random Processes, Spherical Coordinates, Dark Matter, Galactic Evolution, Gravitational Collapse

Scientific paper

The problem of constructing realizations of a random density field in the neighborhood of a peak of specified over-density simplifies dramatically when formulated in spherical coordinates. The problem can now be solved exactly rather than iteratively, and it is practicable to specify also the shape of the peak. The present formalism both facilitates the setting up of initial conditions for numerical simulations of galaxy- and cluster-formation, and analytic investigations of the statistical properties of fields around peaks.

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