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.
Peak Number Density of Non-Gaussian Random Fields
LUCCHIN, FRANCESCO;MATARRESE, SABINO
1988
Abstract
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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