Cosmological Applications of the Gaussian Kinematic Formula
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. All our results are validated by numerical experiments, which show a perfect agreement between theoretical predictions and Monte Carlo simulations.
Keywords
Cite
@article{arxiv.1406.5420,
title = {Cosmological Applications of the Gaussian Kinematic Formula},
author = {Yabebal Fantaye and Frode Hansen and Davide Maino and Domenico Marinucci},
journal= {arXiv preprint arXiv:1406.5420},
year = {2015}
}
Comments
19 pages, 10 figure panels