Excursion Set Mass Functions for Hierarchical Gaussian Fluctuations
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 cloudincloud problem of miscounting the number of lowmass 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, R_{f),} the fourdimensional initial density perturbation field smoothed with a continuous hierarchy of filters of radii R sub f.
 Publication:

The Astrophysical Journal
 Pub Date:
 October 1991
 DOI:
 10.1086/170520
 Bibcode:
 1991ApJ...379..440B
 Keywords:

 Computational Astrophysics;
 Gauss Equation;
 Dark Matter;
 Density Distribution;
 Many Body Problem;
 Mass Distribution;
 Monte Carlo Method;
 Astrophysics;
 COSMOLOGY;
 GALAXIES: CLUSTERING;
 NUMERICAL METHODS