Nicola Turchi

activity

20172026

most citedThreshold phenomena for high-dimensional random polytopes

17 citations · 30 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.PR2017

Limit theorems for random polytopes with vertices on convex surfaces

Nicola Turchi, Florian Wespi

The random polytope $K_{n}$ , defined as the convex hull of $n$ points chosen uniformly at random on the boundary of a smooth convex body, is considered. Proofs for lower and upper va…

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_…

math.MG2017

Random polytopes: central limit theorems for intrinsic volumes

Christoph Thaele, Nicola Turchi, Florian Wespi

Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimat…