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Title:
Excursion set mass functions for hierarchical Gaussian fluctuations
Authors:
Bond, J. R.; Cole, S.; Efstathiou, G.; Kaiser, N.
Affiliation:
AA(Canadian Institute for Theoretical Astrophysics, Toronto, Canada), AB(California, University, Berkeley), AC(Oxford, University, England), AD(Canadian Institute for Theoretical Astrophysics, Toronto, Canada)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 379, Oct. 1, 1991, p. 440-460. Research supported by NSERC, NASA, and University of California. (ApJ Homepage)
Publication Date:
10/1991
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Computational Astrophysics, Gauss Equation, Dark Matter, Density Distribution, Many Body Problem, Mass Distribution, Monte Carlo Method
DOI:
10.1086/170520
Bibliographic Code:
1991ApJ...379..440B

Abstract

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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