131 citations · 244 across the 25 of their papers we have counts for
Showing 2016 · math.PRShow all
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math.PR2016★ 3 cited
Monotonicity of the Sample Range of 3-D Data: Moments of Volumes of Random Tetrahedra
Stefan Kunis, Benjamin Reichenwallner, Matthias Reitzner
The sample range of uniform random points chosen in a given convex set is the convex hull . It is shown that in dimension three the…
math.PR2016
Cells with many facets in a Poisson hyperplane tessellation
Gilles Bonnet, Pierre Calka, Matthias Reitzner
Let be the typical cell of a stationary Poisson hyperplane tessellation in . The distribution of the number of facets of the typical cell is investigated.…
math.PR2016★ 24 cited
Expected Sizes of Poisson-Delaunay Mosaics and Their Discrete Morse Functions
Herbert Edelsbrunner, Anton Nikitenko, Matthias Reitzner
Mapping every simplex in the Delaunay mosaic of a discrete point set to the radius of the smallest empty circumsphere gives a generalized discrete Morse function. Choosing the poin…