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Displaying 1 – 16 of 16

Radius and profile of random planar maps with faces of arbitrary degrees.

Miermont, Grégory, Weill, Mathilde (2008)

Electronic Journal of Probability [electronic only]

Random lines and tessellations in a plane.

Luis A. Santaló (1980)

Stochastica

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.

Shlomo Reisner (1985)

Mathematica Scandinavica

Random polytopes in a convex polytope, independence of shape, and concentration of vertices.

Imre Bárány, Christian Buchta (1993)

Mathematische Annalen

Random Projections of Regular Simplices.

R. Schneider, F. Affentranger (1992)

Discrete & computational geometry

Random sets and their asymptotic measure

František Straka, Josef Štěpán (1993)

Mathematica Slovaca

Random sets and their intersections [Abstract of thesis]

František Straka (1988)

Commentationes Mathematicae Universitatis Carolinae

Random system of lines in the Euclidean plane $E_{2}$ .

Caristi, Giuseppe (2008)

APPS. Applied Sciences

Random ε-nets and embeddings in $ℓ_{\infty}^{N}$

Y. Gordon, A. E. Litvak, A. Pajor, N. Tomczak-Jaegermann (2007)

Studia Mathematica

We show that, given an n-dimensional normed space X, a sequence of $N = {(8 / ε)}^{2 n}$ independent random vectors ${(X_{i})}_{i = 1}^{N}$ , uniformly distributed in the unit ball of X*, with high probability forms an ε-net for this unit ball. Thus the random linear map $Γ : ℝ \to ℝ^{N}$ defined by $Γ x = {(⟨ x, X_{i} ⟩)}_{i = 1}^{N}$ embeds X in $ℓ_{\infty}^{N}$ with at most 1 + ε norm distortion. In the case X = ℓ₂ⁿ we obtain a random 1+ε-embedding into $ℓ_{\infty}^{N}$ with asymptotically best possible relation between N, n, and ε.

Displaying 1 – 16 of 16

Radius and profile of random planar maps with faces of arbitrary degrees.

Random lines and tessellations in a 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 $E_{2}$ .

Random ε-nets and embeddings in $ℓ_{\infty}^{N}$

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".

Currently displaying 1 – 16 of 16