Radius and profile of random planar maps with faces of arbitrary degrees.
Random lines and tessellations in a plane.
Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.
Random polytopes and the volume-product of symmetric convex bodies.
Random polytopes in a convex polytope, independence of shape, and concentration of vertices.
Random Projections of Regular Simplices.
Random sets and their asymptotic measure
Random sets and their intersections [Abstract of thesis]
Random system of lines in the Euclidean plane .
Random ε-nets and embeddings in
We show that, given an n-dimensional normed space X, a sequence of independent random vectors , uniformly distributed in the unit ball of X*, with high probability forms an ε-net for this unit ball. Thus the random linear map defined by embeds X in with at most 1 + ε norm distortion. In the case X = ℓ₂ⁿ we obtain a random 1+ε-embedding into with asymptotically best possible relation between N, n, and ε.
Rareté des intervalles recouvrant un point dans un recouvrement aléatoire
Real time asymptotic packing.
Réarrangements convexes des marches aléatoires
Rectification d'une formule de probabilité
Regenerative sets on real line
Regular Simplices and Gaussian Samples.
Remarks on the note "Generalization of a formula of C. Buchta about the convex hull of random points".