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

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

1995-09-02

arxiv.org/abs/astro-ph/9509008v1

Int.J.Mod.Phys. D5 (1996) 319-362

Astronomy and Astrophysics

Astrophysics

34 pages, 12 postscript figures are available upon request from henning@astro.ku.dk

Scientific paper

10.1142/S0218271896000229

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 $10^o\times10^o$ 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 $\gD T/T$.

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