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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

Nonlinear Evolution of the Genus Statistics in the Zeldovich Approximation