The Topology of The Cosmic Microwave Background Anisotropy on The Scale 1 degree

Abstract

In this paper we develop the theory of clusterization of peaks in a Gaussian random field. We have obtained new mathematical results from this theory and the theory of percolation and have proposed a topological method of analysis of sky maps based on these results. We have simulated $10^o\times 10^o$ sky maps of the cosmic microwave background anisotropy expected from different cosmological models with $0.5^o-1^o$ resolution in order to demonstrate how this method can be used for detection of non-Gaussian noise in the maps and detection of the Doppler-peak in the spectrum of perturbation of $\gD T/T$.

arXiv comment34 pages, 12 postscript figures are available upon request from [email protected]

Cited by in corpus (2)

• General Statistical properties of the CMB Polarization field
• Power filtration of CMB observational data