The statistics of cosmic background radiation fluctuations
Abstract
Computations of the radiation correlation functions and angular power spectra are presented for microwavebackground anisotropies expected in Omega = 1 colddarkmatterdominated universes with scaleinvariant adiabatic or isocurvature initial conditions. The results are valid on all angular scales. The statistical properties of the radiation pattern are described, and the theory of twodimensional Gaussian random fields is developed. A large number of properties of such fields may be derived analytically or semianalytically, such as the number densities of hot and cold spots, the eccentricities of peaks, and peak correlation properties. The formulas presented here provide valuable insight into the textural characteristics of the microwavebackground anisotropies and must be satisfied if the primordial fluctuations are Gaussian. The assumption of Gaussian initial conditions makes it possible to make highly specific predictions for the pattern of the temperature anisotropies. This is demonstrated by the construction of maps of the fluctuations predicted for the total intensity and the polarization.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 June 1987
 DOI:
 10.1093/mnras/226.3.655
 Bibcode:
 1987MNRAS.226..655B
 Keywords:

 Computational Astrophysics;
 Cosmology;
 Radiation Distribution;
 Relic Radiation;
 Statistical Analysis;
 Angular Correlation;
 Anisotropy;
 Correlation;
 Dark Matter;
 Power Spectra;
 Space Radiation