Daniel Temesvari

activity

20162020

most citedThreshold phenomena for high-dimensional random polytopes

17 citations · 24 across the 3 of their papers we have counts for

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2020★ 6 cited

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…

math.PR2018

Cones generated by random points on half-spheres and convex hulls of Poisson point processes

Zakhar Kabluchko, Alexander Marynych, Daniel Temesvari +1

Let $U_{1}, U_{2}, \dots$ be random points sampled uniformly and independently from the $d$ -dimensional upper half-sphere. We show that, as $n \to \infty$ , the $f$ -vector of the $(d + 1)$ -d…

math.PR2016

Moments of the maximal number of empty simplices of a random point set

Daniel Temesvari

For a finite set $X$ of $n$ points from $R^{M}$ , the degree of an $M$ -element subset ${x_{1}, \dots, x_{M}}$ of $X$ is defined as the number of $M$ -simplices that can be constru…