Peak number density of non-Gaussian random fields

Physics

Scientific paper

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21

Asymptotic Methods, Cosmology, Density Distribution, Statistical Distributions, Correlation, Fourier Transformation, Hermitian Polynomial, Isotropy, Power Spectra

Scientific paper

Asymptotic expressions are derived for the mean up-crossing rate, size,
and number density of excursions above a high level by a stationary,
non-Gaussian, random field in D dimensions. These formulas are relevant
in the analysis of the large-scale matter distribution in the Universe.

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