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The Fourier transformation is an effective and efficient operation ofGaussianization at the one-point level. Using a set of N-body simulation data,we verified that the one-point distribution functions of the dark mattermomentum divergence and density fields closely follow complex Gaussiandistributions. The one-point distribution function of the quotient of twocomplex Gaussian variables is introduced and studied. Statistical theories arethen applied to model one-point statistics about the growth of individualFourier mode of the dark matter density field, which can be obtained by theratio of two Fourier transformed cosmic fields. Our simulation results provedthat the models based on the Gaussian approximation are impressively accurate,and our analysis revealed many interesting aspects about the growth of darkmatter's density fluctuation in Fourier space.

About One-point Statistics of the Ratio of Two Fourier-transformed Cosmic Fields and an Application