We consider geometric functionals of the convex hull of normally distributed random points in Eu-clidean space Rd. In particular, we determine the asymptotic behaviour of the expected value of such functionals and of related geometric probabilities, as the number of points increases.
AbstractFor convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Func...
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
Let Kn be the convex hull of i.i.d. random variables distributed according to the standard normal di...
International audienceLet $K_n$ be the convex hull of i.i.d. random variables distributed according ...
International audienceLet $K_n$ be the convex hull of i.i.d. random variables distributed according ...
We prove some “high probability” results on the expected value of the mean width for random perturba...
AbstractLet K be a convex body in Rd and let Xn=(x1,…,xn) be a random sample of n independent points...
AbstractLet K be a smooth convex set with volume one in Rd. Choose n random points in K independentl...
AbstractThis paper considers asymptotic expansions of certain expectations which appear in the theor...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
AbstractFor convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Func...
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
International audienceRandom polytopes have constituted some of the central objects of stochastic ge...
Let Kn be the convex hull of i.i.d. random variables distributed according to the standard normal di...
International audienceLet $K_n$ be the convex hull of i.i.d. random variables distributed according ...
International audienceLet $K_n$ be the convex hull of i.i.d. random variables distributed according ...
We prove some “high probability” results on the expected value of the mean width for random perturba...
AbstractLet K be a convex body in Rd and let Xn=(x1,…,xn) be a random sample of n independent points...
AbstractLet K be a smooth convex set with volume one in Rd. Choose n random points in K independentl...
AbstractThis paper considers asymptotic expansions of certain expectations which appear in the theor...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
AbstractFor convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen...
International audienceWe derive explicit formulae for the expected volume and the expected number of...
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Func...