The area of isodensity contours in Gaussian and non-Gaussian fields

Statistics – Computation

Scientific paper

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Computational Astrophysics, Contours, Cosmology, Mass Distribution, Space Density, Dark Matter, Data Smoothing, Galactic Clusters, Normal Density Functions, Power Spectra

Scientific paper

The area of isodensity contours in a smoothed density field can be measured by the contour-crossing statistic N1, the number of times per unit length that a line drawn through the density field pierces an isodensity contour. The contour-crossing statistic distinguishes between Gaussian and non-Gaussian fields and provides a measure of the effective slope of the power spectrum. The statistic is easy to apply and can be used on pencil beams and slices as well as on a three-dimensional field.

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