Add to ORKGAsymptotic formulas are proved for the expected $T$-functional of the convex hull of independent and identically distributed random points sampled from the Euclidean unit sphere in $\mathbb{R}^n$ according to an arbitrary positive continuous density. As an application, the approximation of the sphere by random polytopes in terms of $L_p$ surface area differences is discussed.Comment: 20 page
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
Let \(a_1,\dots,a_n\) be independent random points in \(\mathbb{R}^d\) spherically symmetrically but...
AbstractLet K be a convex body in Rd and let Xn=(x1,…,xn) be a random sample of n independent points...
Asymptotic formulas are proved for the expected $T$-functional of the convex hull of independent and...
A random spherical polytope Pn in a spherically convex set K⊂Sd as considered here is the spherical ...
A random spherical polytope Pn in a spherically convex set inline image as considered here is the sp...
The paper of Schreiber and Yukich [40] establishes an asymptotic representation for random convex po...
Facets of the convex hull of n independent random vectors chosen uniformly at random from the unit s...
Facets of the convex hull of n independent random vectors chosen uniformly at random from the unit s...
Facets of the convex hull of n independent random vectors chosen uniformly at random from the unit s...
Facets of the convex hull of n independent random vectors chosen uniformly at random from the unit s...
AbstractFor convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen...
In this work we study a class of random convex sets that "interpolate" between polytopes and zonotop...
In this work we study a class of random convex sets that "interpolate" between polytopes and zonotop...
In this work we study a class of random convex sets that "interpolate" between polytopes and zonotop...
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
Let \(a_1,\dots,a_n\) be independent random points in \(\mathbb{R}^d\) spherically symmetrically but...
AbstractLet K be a convex body in Rd and let Xn=(x1,…,xn) be a random sample of n independent points...
Asymptotic formulas are proved for the expected $T$-functional of the convex hull of independent and...
A random spherical polytope Pn in a spherically convex set K⊂Sd as considered here is the spherical ...
A random spherical polytope Pn in a spherically convex set inline image as considered here is the sp...
The paper of Schreiber and Yukich [40] establishes an asymptotic representation for random convex po...
Facets of the convex hull of n independent random vectors chosen uniformly at random from the unit s...
Facets of the convex hull of n independent random vectors chosen uniformly at random from the unit s...
Facets of the convex hull of n independent random vectors chosen uniformly at random from the unit s...
Facets of the convex hull of n independent random vectors chosen uniformly at random from the unit s...
AbstractFor convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen...
In this work we study a class of random convex sets that "interpolate" between polytopes and zonotop...
In this work we study a class of random convex sets that "interpolate" between polytopes and zonotop...
In this work we study a class of random convex sets that "interpolate" between polytopes and zonotop...
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
Let \(a_1,\dots,a_n\) be independent random points in \(\mathbb{R}^d\) spherically symmetrically but...
AbstractLet K be a convex body in Rd and let Xn=(x1,…,xn) be a random sample of n independent points...