Number density of filaments in a random Gaussian field

Statistics – Computation

Scientific paper

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

Scientific paper

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.

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