120 citations · 423 across the 16 of their papers we have counts for
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astro-ph.CO2016★ 120 cited
The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
Pratyush Pranav, Herbert Edelsbrunner, Rien van de Weygaert +4
We introduce a multiscale topological description of the Megaparsec weblike cosmic matter distribution. Betti numbers and topological persistence offer a powerful means of describi…
math.DG2016★ 10 cited
Barycentric coordinate neighbourhoods in Riemannian manifolds
Ramsay Dyer, Gert Vegter, Mathijs Wintraecken
We quantify conditions that ensure that a signed measure on a Riemannian manifold has a well defined centre of mass. We then use this result to quantify the extent of a neighbourho…