Genus Statistics of the Large-Scale Structure with Non-Gaussian Density Fields

Details Genus Statistics of the Large-Scale Structure with Non-Gaussian Density Fields Genus Statistics of the Large-Scale Structure with Non-Gaussian Density Fields

1995-09-18

arxiv.org/abs/astro-ph/9509086v1

Astrophys.J. 463 (1996) 409-419

Astronomy and Astrophysics

Astrophysics

18 pages, LaTeX, 4 figures are available upon request from matsu@utaphp1.phys.s.u-tokyo.ac.jp

Scientific paper

10.1086/177257

As a statistical measure to quantify the topological structure of the large-scale structure in the universe, the genus number is calculated for a number of non-Gaussian distributions in which the density field is characterized by a nontrivial function of some Gaussian-distributed random numbers. As a specific example, the formulae for the lognormal and the chi-square distributions are derived and compared with the results of $N$-body simulations together with the previously known formulae for the Gaussian distribution and second-order perturbation theory. It is shown that the lognormal formula fits most of the simulation data the best.

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