Excursion set mass functions for hierarchical Gaussian fluctuations

Details Excursion set mass functions for hierarchical Gaussian fluctuations Excursion set mass functions for hierarchical Gaussian fluctuations

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...379..440b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 379, Oct. 1, 1991, p. 440-460. Research supported by NSERC, NASA, and Unive

Statistics

Computation

873

Computational Astrophysics, Gauss Equation, Dark Matter, Density Distribution, Many Body Problem, Mass Distribution, Monte Carlo Method

Scientific paper

It is pointed out that most schemes for determining the mass function of virialized objects from the statistics of the initial density perturbation field suffer from the cloud-in-cloud problem of miscounting the number of low-mass clumps, many of which would have been subsumed into larger objects. The paper proposes a solution based on the theory of the excursion sets of F(r, Rf), the four-dimensional initial density perturbation field smoothed with a continuous hierarchy of filters of radii R sub f.

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