Geometry and Statistics of Cosmic Microwave Polarization

Abstract

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.

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

References in corpus (9)

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• Statistics of Cosmic Microwave Background Polarization
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• A CMB Polarization Primer
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Cited by in corpus (9)

• Multipole Vectors--a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2<=l<=8
• How to measure CMB polarization power spectra without losing information
• Distribution of Singularities in the Cosmic Microwave Background Polarization
• On Minkowski Functionals of CMB polarization
• Cosmological Applications of the Gaussian Kinematic Formula
• Topological Defects in Gravitational Lensing Shear Fields
• Topological properties of the Cosmic Microwave Background polarization map
• Negative intensity patches in angular variations of CMB as a probe of the period of reionization
• Probing CMB Polarization Gaussianity with the Statistics of Unpolarized Points: Non-Gaussianity of Planck Data and Prospects for Future B-Mode Measurements