429 citations · 3k across the 32 of their papers we have counts for
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astro-ph.CO2013★ 62 cited
Betti numbers of Gaussian fields
Changbom Park, Pratyush Pranav, Pravabati Chingangbam +6
We present the relation between the genus in cosmology and the Betti numbers for excursion sets of three- and two-dimensional smooth Gaussian random fields, and numerically investi…
astro-ph.CO2013★ 3 cited
Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web
Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner +13
We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent Betti numbers, which formalize the topological information content of the cosmic mass distributio…