Number density of filaments in a random Gaussian field
Abstract
The BBKS (Bardeen, Bond, Kaiser and Szalay) expression for the number density of maxima above a threshold in a random Gaussian field (RGF) is used to develop a mathematical technique that would allow the computation of the probability density of filamentary structures arising at random in such a field. A description is given of a procedure for the evaluation of the geometrical coefficients appearing in the expression for the probability density of filaments in a Poissonian distribution of points. The description of a generalized procedure for computing the probability density of any kind of structure arising at random in an RGF is given in Appendix A.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 April 1990
 Bibcode:
 1990MNRAS.243..656B
 Keywords:

 Galactic Structure;
 Normal Density Functions;
 Poisson Density Functions;
 Probability Density Functions;
 Random Variables;
 Statistical Distributions;
 Computational Astrophysics;
 Fourier Transformation;
 Weighting Functions;
 Astrophysics