Geometry and Statistics of Cosmic Microwave Polarization

Astronomy and Astrophysics – Astrophysics

Scientific paper

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37 pages, 5 figures, submitted in Int.J.Mod.Phys. D

Scientific paper

10.1142/S0218271899000171

Geometrical and statistical properties of polarization of CMB are analyzed. Singular points of the vector field which describes CMB polarization are found and classified. Statistical distribution of the singularities is studied. A possible signature of tensor perturbations in CMB polarization is discussed. For a further analysis of CMB statistics Minkowski functionals are used, which present a technically simple method to search for deviations from a Gaussian distribution.

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