Publications (22)
U-statistics in stochastic geometry
Raphaël Lachèze-Rey, Matthias Reitzner
Set Reconstruction by Voronoi cells
Matthias Reitzner, Evgeny Spodarev, Dmitry Zaporozhets
Poisson--Voronoi approximation
Matthias Heveling, Matthias Reitzner
Gigantic random simplicial complexes
Jens Grygierek, Martina Juhnke-Kubitzke, Matthias Reitzner +2
Limit theory for the Gilbert graph
Matthias Reitzner, Matthias Schulte, Christoph Thaele
Central limit theorems for $U$-statistics of Poisson point processes
Matthias Reitzner, Matthias Schulte
Poisson point processes: Large deviation inequalities for the convex distance
Matthias Reitzner
Cells with many facets in a Poisson hyperplane tessellation
Gilles Bonnet, Pierre Calka, Matthias Reitzner
On the monotonicity of the moments of volumes of random simplices
Benjamin Reichenwallner, Matthias Reitzner
Poisson polytopes
Imre Bárány, Matthias Reitzner
On the cells in a stationary Poisson hyperplane mosaic
Matthias Reitzner, Rolf Schneider
Concentration for Poisson U-Statistics: Subgraph Counts in Random Geometric Graphs
Sascha Bachmann, Matthias Reitzner
Random points in halfspheres
Imre Bárány, Daniel Hug, Matthias Reitzner +1
Many empty triangles have a common edge
Imre Bárány, Jean-François Marckert, Matthias Reitzner
Monotonicity of functionals of random polytopes
Mareen Beermann, Matthias Reitzner
The monotonicity of f-vectors of random polytopes
Olivier Devillers, Marc Glisse, Xavier Goaoc +2
Stars of Empty Simplices
Matthias Reitzner, Daniel Temesvari
Asymptotic normality for random simplices and convex bodies in high dimensions
David Alonso-Gutiérrez, Florian Besau, Julian Grote +5
Expected Sizes of Poisson-Delaunay Mosaics and Their Discrete Morse Functions
Herbert Edelsbrunner, Anton Nikitenko, Matthias Reitzner
Poisson polyhedra in high dimensions
Julia Hoerrmann, Daniel Hug, Matthias Reitzner +1
Monotonicity of the Sample Range of 3-D Data: Moments of Volumes of Random Tetrahedra
Stefan Kunis, Benjamin Reichenwallner, Matthias Reitzner
Beyond the Efron-Buchta identities: distributional results for Poisson polytopes
Mareen Beermann, Matthias Reitzner