Weakly Nonlinear Evolution of Topology of Large-scale Structure

Abstract

The gravitational evolution of the genus and other statistics of isodensity contours of the density field is derived analytically in a weakly nonlinear regime using second-order perturbation theory. The effect of final smoothing in perturbation theory on the statistics of isodensity contours is also evaluated. The resulting analytic expression for the genus is compared with $N$-body numerical simulations and exhibits a good agreement.

presented at 'Large Scale Structure in the Universe', held in Geltow, F.R.G., September, 1994. 5 pages uuencoded, compressed postscript (including a figure), self-extracting on UNIX machines.

Cited by in corpus (5)

• Minkowski Tensors in Two Dimensions - Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields
• Minkowski Tensors in Three Dimensions - Probing the Anisotropy Generated by Redshift Space Distortion
• Cosmological Parameter Estimation Using the Genus Amplitude - Application to Mock Galaxy Catalogs
• Topology of Large-Scale Structures of Galaxies in Two Dimensions - Systematic Effects
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Expansion History using the Genus Amplitude as a Standard Ruler