17 citations · 24 across the 3 of their papers we have counts for
7 papers
A new approach to weak convergence of random cones and polytopes
Zakhar Kabluchko, Daniel Temesvari, Christoph Thäle
A new approach to prove weak convergence of random polytopes on the space of compact convex sets is presented. This is used to show that the profile of the rescaled Schläfli random…
Empowering open science with reflexive and spatialised indicators
Juste Raimbault, Pierre-Olivier Chasset, Clémentine Cottineau +4
Bibliometrics have become commonplace and widely used by authors and journals to monitor, to evaluate and to identify their readership in an ever-increasingly publishing scientific…
Threshold phenomena for high-dimensional random polytopes
Gilles Bonnet, Giorgos Chasapis, Julian Grote +2
Let , , be independent random points in , distributed according to the so-called beta or beta-prime distribution, respectively. We establish thre…
Cones generated by random points on half-spheres and convex hulls of Poisson point processes
Zakhar Kabluchko, Alexander Marynych, Daniel Temesvari +1
Let be random points sampled uniformly and independently from the -dimensional upper half-sphere. We show that, as , the -vector of the -d…
Expected intrinsic volumes and facet numbers of random beta-polytopes
Zakhar Kabluchko, Daniel Temesvari, Christoph Thaele
Let be i.i.d.\ random points in the -dimensional Euclidean space sampled according to one of the following probability densities: $$ f_{d,β} (x) = \text{const}…
Monotonicity of facet numbers of random convex hulls
Gilles Bonnet, Julian Grote, Daniel Temesvari +3
Let be independent random points that are distributed according to a probability measure on and let be the random convex hull generated by $X_…
Moments of the maximal number of empty simplices of a random point set
Daniel Temesvari
For a finite set of points from , the degree of an -element subset of is defined as the number of -simplices that can be constru…