Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals

Pratyush Pranav, Rien van de Weygaert, Gert Vegter +6

This study presents a numerical analysis of the topology of a set of cosmologically interesting three-dimensional Gaussian random fields in terms of their Betti numbers ${\beta }_0$, $β_1…