Nonlinear Evolution of the Genus Statistics with Zel'dovich Approximation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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21 pages, 6 Postscript figures, LaTeX

Scientific paper

10.1086/313003

Evolution of genus density is calculated from Gaussian initial conditions
using Zel'dovich approximation. A new approach is introduced which formulates
the desired quantity in a rotationally invariant manner. It is shown that
normalized genus density does not depend on the initial spectral shape but is a
function of the fluctuation amplitude only.

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