Quelques exemples d'application du transport de mesure en géométrie euclidienne et riemannienne
Quelques propriétés topologiques des points d'appui d'ensembles convexes
Quelques questions soulevées par le cône barrière d'un convexe
Quelques théorèmes de géométrie à dimensions
Quelques théorèmes sur les tétraèdres dont les arêtes opposées sont égales deux à deux, et solution de la question 1272
Quotients of Polytopes and C-Groups.
Rademacher-Carlitz polynomials
We introduce and study the Rademacher-Carlitz polynomial where , s,t ∈ ℝ, and u and v are variables. These polynomials generalize and unify various Dedekind-like sums and polynomials; most naturally, one may view R(u,v,s,t,a,b) as a polynomial analogue (in the sense of Carlitz) of the Dedekind-Rademacher sum , which appears in various number-theoretic, combinatorial, geometric, and computational contexts. Our results come in three flavors: we prove a reciprocity theorem for Rademacher-Carlitz...
Radial Minkowski additive operators
We give some characterizations for radial Minkowski additive operators and prove a new characterization of balls. Finally, we show the property of radial Minkowski homomorphism.
Radial projections of bisectors in Minkowski spaces.
Radii of simplices and some applications to geometric inequalities.
Radiography of perfect lattices. (Radiographie des réseaux parfaits.)
Radonpartitionen und konvexe Polyeder.
Random fixed point theorems for multivalued nonexpansive non-self-random operators.
Random polytopes and the volume-product of symmetric convex bodies.
Random polytopes in a convex polytope, independence of shape, and concentration of vertices.
Random Polytopes in the d- Dimensional Cube.
Random Projections of Regular Simplices.
Random system of lines in the Euclidean plane .
Random walks that avoid their past convex hull.
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.