Approximation of Zonoids by Zonotopes in Fixed Directions.
Approximation on convex bodies by random polytopes.
Approximation under an arc length constraint.
Approximation under an arc length constraint. (Short Communiaction).
Aproximación aleatoria de cuerpos convexos.
Problems related to the random approximation of convex bodies fall into the field of integral geometry and geometric probabilities. The aim of this paper is to give a survey of known results about the stochastic model that has received special attention in the literature and that can be described as follows:Let K be a d-dimensional convex body in Eucliden space Rd, d ≥ 2. Denote by Hn the convex hull of n independent random points X1, ..., Xn distributed identically and uniformly in the interior...
Area and coarea formulas for the mappings of Sobolev classes with values in a metric space.
Area preserving pl homeomorphisms and relations in
To any compactly supported, area preserving, piecewise linear homeomorphism of the plane is associated a relation in of the smallest field whose elements are needed to write the homeomorphism.Using a formula of J. Morita, we show how to calculate the relation, in some simple cases. As applications, a “reciprocity” formula for a pair of triangles in the plane, and some explicit elements of torsion in of certain function fields are found.
Areas of lattice polygons, applied to computer graphics
Areas of Polygons Inscribed in a Circle.
Around the proof of the Legendre-Cauchy lemma on convex polygons.
Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule.
Around the Rogers-Shepard inequality.
Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue
Arrangements and Milnor fibres.
Arrangements d'hyperplans et sommes de Gauss
Arrangements of arcs and pseudocircles.
Arrangements of hyperplanes and Lie algebra homology.
Arrangements of Lines with a Minimum Number of Triangles Are Simple.
Arrangements of Oriented Hyperplanes.
Asphericity of shadows of a convex body.