Nonlinear Evolution of the Genus Statistics in the Zeldovich Approximation | Zendy

Naoki Seto | Zendy; Jun’ichi Yokoyama | Zendy; Takahiko Matsubara | Zendy; Masaru Siino | Zendy

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Nonlinear Evolution of the Genus Statistics in the Zeldovich Approximation

Author(s) -

Naoki Seto,

Jun’ichi Yokoyama,

Takahiko Matsubara,

Masaru Siino

Publication year - 1997

Publication title -

the astrophysical journal supplement series

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.546

H-Index - 277

eISSN - 1538-4365

pISSN - 0067-0049

DOI - 10.1086/313003

Subject(s) - amplitude , gaussian , genus , invariant (physics) , nonlinear system , function (biology) , mathematics , probability density function , statistical physics , physics , statistics , mathematical physics , quantum mechanics , biology , zoology , evolutionary biology

Evolution of genus density is calculated from Gaussian initial conditionsusing Zel'dovich approximation. A new approach is introduced which formulatesthe desired quantity in a rotationally invariant manner. It is shown thatnormalized genus density does not depend on the initial spectral shape but is afunction of the fluctuation amplitude only.Comment: 21 pages, 6 Postscript figures, LaTe

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