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Nonlinear Evolution of the Genus Statistics with Zel'dovich Approximation

Naoki Seto·Jun'ichi Yokoyama·Takahiko Matsubara·Masaru Siino
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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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Naoki Seto, Jun'ichi Yokoyama, Takahiko Matsubara, Masaru Siino. 1996-10-23. Nonlinear Evolution of the Genus Statistics with Zel'dovich Approximation. https://doi.org/10.1086/313003

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