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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5 papers · 1 filter

math.MG2024

Weighted floating functions and weighted functional affine surface areas

Carsten Schütt, Christoph Thaele, Nicola Turchi +1

The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or $s$ -concave functions. This leads to new notions of weighted…

math.MG2018

The isotropic constant of random polytopes with vertices on convex surfaces

Joscha Prochno, Christoph Thäle, Nicola Turchi

For an isotropic convex body $K \subset R^{n}$ we consider the isotropic constant $L_{K_{N}}$ of the symmetric random polytope $K_{N}$ generated by $N$ independent random points w…

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★ 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…