Nonlinear Evolution of the Genus Statistics with Zel'dovich Approximation
Naoki Seto, Jun'ichi Yokoyama, Takahiko Matsubara, Masaru Siino
Abstract
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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