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Cosmological Applications of the Gaussian Kinematic Formula

Published online by Cambridge University Press:  01 July 2015

Yabebal T. Fantaye  and
Domenico Marinucci
Yabebal T. Fantaye
Affiliation:
Dipartimento di Matematica, Universit di Roma”Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy email: fantaye@mat.uniroma2.it, marinucc@axp.mat.uniroma2.it
Domenico Marinucci
Affiliation:
Dipartimento di Matematica, Universit di Roma”Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy email: fantaye@mat.uniroma2.it, marinucc@axp.mat.uniroma2.it
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Abstract

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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.

Keywords

methods: analyticalmethods: data analysismethods: numericalmethods: statisticaltechniques: image processingcosmology: cosmic microwave background

References

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Fantaye, Yabebal, Hansen, Frode, Maino, Davide, Marinucci, DomenicoArXiv e-prints: 1406.5420Google Scholar
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