Daniel Temesvari

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20162020

most citedThreshold phenomena for high-dimensional random polytopes

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

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math.MG2018★ 17 cited

Threshold phenomena for high-dimensional random polytopes

Gilles Bonnet, Giorgos Chasapis, Julian Grote +2

Let $X_{1}, \dots, X_{N}$ , $N > n$ , be independent random points in $R^{n}$ , distributed according to the so-called beta or beta-prime distribution, respectively. We establish thre…

math.MG2017

Expected intrinsic volumes and facet numbers of random beta-polytopes

Zakhar Kabluchko, Daniel Temesvari, Christoph Thaele

Let $X_{1}, \dots, X_{n}$ be i.i.d.\ random points in the $d$ -dimensional Euclidean space sampled according to one of the following probability densities: $$ f_{d,β} (x) = \text{const}…

math.MG2017★ 1 cited

Monotonicity of facet numbers of random convex hulls

Gilles Bonnet, Julian Grote, Daniel Temesvari +3

Let $X_{1}, \dots, X_{n}$ be independent random points that are distributed according to a probability measure on $R^{d}$ and let $P_{n}$ be the random convex hull generated by $X_…