Cosmological Applications of the Gaussian Kinematic Formula. Issue Volume 10:Issue S306(2014) (1st July 2015)

• Record Type: Journal Article
• Authors: Fantaye, Yabebal T.; Marinucci, Domenico
• Editors: Heavens, A. F.; Starck, J.-L.; Krone-Martins, A.
• Is Part Of: Proceedings of the International Astronomical Union. Volume 10:Issue S306(2014)
• Page Start: 135
• Page End: 138
• Publication Date: 2015-07-01
• Subjects: methods: analytical, -- methods: data analysis, -- methods: numerical, -- methods: statistical, -- techniques: image processing, -- cosmology: cosmic microwave background; Astronomy -- Congresses; Astronomy -- Periodicals; 520
• DOI: 10.1017/S1743921314010795
• Languages: English
• ISSNs: 1743-9213

Abstract

Abstract: The Gaussian Kinematic Formula (GKF, see Adler and Taylor (2007, 2011)) is an extremely powerful tool allowing for explicit analytic predictions of expected values of Minkowski functionals under realistic experimental conditions for cosmological data collections. In this paper, we implement Minkowski functionals on multipoles and needlet components of CMB fields, thus allowing a better control of cosmic variance and extraction of information on both harmonic and real domains; we then exploit the GKF to provide their expected values on spherical maps, in the presence of arbitrary sky masks, and under nonGaussian circumstances.