Random polytopes in smooth convex bodies
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Publication:4024708
DOI10.1112/S0025579300006872zbMath0765.52009OpenAlexW2076059647MaRDI QIDQ4024708
Publication date: 10 February 1993
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0025579300006872
Related Items (32)
Local convex hull support and boundary estimation ⋮ Surface bodies and \(p\)-affine surface area ⋮ Floating bodies and approximation of convex bodies by polytopes ⋮ Central limit theorems for random polytopes in a smooth convex set ⋮ Weighted floating bodies and polytopal approximation ⋮ Random points in halfspheres ⋮ Uniform behaviors of random polytopes under the Hausdorff metric ⋮ Introduction to Stochastic Geometry ⋮ Limit theory for the first layers of the random convex hull peeling in the unit ball ⋮ On bodies floating in equilibrium in every orientation ⋮ The convex hull of random points on the boundary of a simple polytope ⋮ Random points and lattice points in convex bodies ⋮ Concentration and moderate deviations for Poisson polytopes and polyhedra ⋮ Variance asymptotics for random polytopes in smooth convex bodies ⋮ Approximation of smooth convex bodies by random circumscribed polytopes ⋮ Random polytopes and the Efron-Stein jackknife inequality. ⋮ Methods for estimation of convex sets ⋮ Asymptotic normality for random polytopes in non-Euclidean geometries ⋮ The surface area deviation of the Euclidean ball and a polytope ⋮ Approximation of smooth convex bodies by random polytopes ⋮ Halfspace depth and floating body ⋮ Beyond the Efron-Buchta identities: distributional results for Poisson polytopes ⋮ The combinatorial structure of random polytopes ⋮ Random points on the boundary of smooth convex bodies ⋮ Intrinsic volumes of inscribed random polytopes in smooth convex bodies ⋮ A convex body associated to the Busemann random simplex inequality and the Petty conjecture ⋮ Approximation of convex sets by polytopes ⋮ Large deviation probabilities for the number of vertices of random polytopes in the ball ⋮ Mean width of random polytopes in a reasonably smooth convex body ⋮ On the \(p\)-affine surface area ⋮ Expectation of intrinsic volumes of random polytopes ⋮ Central limit theorems for random polytopes
Cites Work
- Intrinsic volumes and f-vectors of random polytopes
- Bounding the number of connected components of a real algebraic set
- Random polytopes in a convex body
- The convex hull of a uniform sample from the interior of a simple d-polytope
- Random approximation of convex sets*
- [https://portal.mardi4nfdi.de/wiki/Publication:5331598 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II]
- The convex hull of a random set of points
- [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
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