English

Nonlinear Evolution of the Genus Statistics with Zel'dovich Approximation

Astrophysics 2016-08-30 v1

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.

Keywords

Cite

@article{arxiv.astro-ph/9610185,
  title  = {Nonlinear Evolution of the Genus Statistics with Zel'dovich Approximation},
  author = {Naoki Seto and Jun'ichi Yokoyama and Takahiko Matsubara and Masaru Siino},
  journal= {arXiv preprint arXiv:astro-ph/9610185},
  year   = {2016}
}

Comments

21 pages, 6 Postscript figures, LaTeX

R2 v1 2026-07-22T09:30:48.097Z