XI. The Area of Isodensity Contours in Gaussian and NonGaussian Fields
Abstract
The area of isodensity contours in a smoothed density field can be measured by the contourcrossing statistic N_1_, the number of times per unit length that a line drawn through the density field pierces an isodensity contour. The contourcrossing statistic distinguishes between Gaussian and nonGaussian 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 threedimensional field.
 Publication:

Publications of the Astronomical Society of the Pacific
 Pub Date:
 November 1988
 DOI:
 10.1086/132334
 Bibcode:
 1988PASP..100.1360R
 Keywords:

 Computational Astrophysics;
 Contours;
 Cosmology;
 Mass Distribution;
 Space Density;
 Dark Matter;
 Data Smoothing;
 Galactic Clusters;
 Normal Density Functions;
 Power Spectra;
 Astrophysics;
 GALAXIES: CLUSTERING;
 COSMOLOGY