33 citations · 53 across the 13 of their papers we have counts for
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math.CO2017
Gigantic random simplicial complexes
Jens Grygierek, Martina Juhnke-Kubitzke, Matthias Reitzner +2
We provide a random simplicial complex by applying standard constructions to a Poisson point process in Euclidean space. It is gigantic in the sense that - up to homotopy equivalen…
math.PR2017★ 2 cited
Monotonicity of functionals of random polytopes
Mareen Beermann, Matthias Reitzner
The convex hull of a Gaussian sample in is a Gaussian polytope. We prove that the expected number of facets is monotonically inc…