International audienceFor convex bodies $K$ with $\mathcal{C}^2$ boundary in $\mathbb{R}^d$, we provide results on the volume of random polytopes with vertices chosen along the boundary of $K$ which we call $\textit{random inscribing polytopes}$. In particular, we prove results concerning the variance and higher moments of the volume, as well as show that the random inscribing polytopes generated by the Poisson process satisfy central limit theorem
Let $K \subset \R^d$ be a smooth convex set and let $\P_\la$ be a Poisson point process on $\R^d$ of...
International audienceWe consider the convex hull of the perturbed point process comprised of $n$ i....
Let K be a convex body in Rd, let j ∈ {1,..., d−1}, and let K(n) be the convex hull of n points chos...
For convex bodies $K$ with $\mathcal{C}^2$ boundary in $\mathbb{R}^d$, we provide results on the vol...
AbstractFor convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen...
For convex bodies K with C2 boundary and everywhere positive Gauß-Kronecker curvature in Rd, we expl...
We prove the central limit theorem for the volume and the f-vector of the random polytope Pn and the...
We establish central limit theorems for natural volumes of random inscribed polytopes in projective ...
We consider the random polytope \(\it K_{n}\), defined as the convex hull of \(\it n\) points chosen...
AbstractLet K be a smooth convex set with volume one in Rd. Choose n random points in K independentl...
Choose n independent random points on the boundary of a convex body K ⊂ Rd. The intersection of the ...
AbstractA random polytope is the convex hull of uniformly distributed random points in a convex body...
The convex hull of $N$ independent random points chosen on the boundary of a simple polytope in $ \m...
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
We construct and investigate random geometric structures that are based on a homogeneous Poisson poi...
Let $K \subset \R^d$ be a smooth convex set and let $\P_\la$ be a Poisson point process on $\R^d$ of...
International audienceWe consider the convex hull of the perturbed point process comprised of $n$ i....
Let K be a convex body in Rd, let j ∈ {1,..., d−1}, and let K(n) be the convex hull of n points chos...
For convex bodies $K$ with $\mathcal{C}^2$ boundary in $\mathbb{R}^d$, we provide results on the vol...
AbstractFor convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen...
For convex bodies K with C2 boundary and everywhere positive Gauß-Kronecker curvature in Rd, we expl...
We prove the central limit theorem for the volume and the f-vector of the random polytope Pn and the...
We establish central limit theorems for natural volumes of random inscribed polytopes in projective ...
We consider the random polytope \(\it K_{n}\), defined as the convex hull of \(\it n\) points chosen...
AbstractLet K be a smooth convex set with volume one in Rd. Choose n random points in K independentl...
Choose n independent random points on the boundary of a convex body K ⊂ Rd. The intersection of the ...
AbstractA random polytope is the convex hull of uniformly distributed random points in a convex body...
The convex hull of $N$ independent random points chosen on the boundary of a simple polytope in $ \m...
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
We construct and investigate random geometric structures that are based on a homogeneous Poisson poi...
Let $K \subset \R^d$ be a smooth convex set and let $\P_\la$ be a Poisson point process on $\R^d$ of...
International audienceWe consider the convex hull of the perturbed point process comprised of $n$ i....
Let K be a convex body in Rd, let j ∈ {1,..., d−1}, and let K(n) be the convex hull of n points chos...
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