On the Convex Hull of Uniform Random Points in a Simple d-Polytope.
J.A. Wieacker, F. Affentranger (1991)
Discrete & computational geometry
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Displaying similar documents to “Random polytopes and the volume-product of symmetric convex bodies.”
On the Convex Hull of Uniform Random Points in a Simple d-Polytope.
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Rolf Schneider (1987)
Aequationes mathematicae
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Infinite Dimensional Compact Convex Polytopes.
R.R. Phelphs (1969)
Mathematica Scandinavica
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Random polytopes in a convex polytope, independence of shape, and concentration of vertices.
Imre Bárány, Christian Buchta (1993)
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Convex Polytopes Whose Projection Bodies and Difference Sets Are Polars.
H. Martini (1991)
Discrete & computational geometry
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Expectation of Random Polytopes.
Peter M. Gruber (1996)
Manuscripta mathematica
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Volume Approximation of Convex Bodies by Inscribed Polytopes.
Peter M. Gruber (1988)
Mathematische Annalen
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Classical solids.
Farran, H.R., d'Azevedo Breda, A.M., Robertson, S.A. (1995)
Beiträge zur Algebra und Geometrie
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Intrinsic volumes and f-vectors of random polytopes.
Imre Bárány (1989)
Mathematische Annalen
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Recent Results on Random Polytopes
Rolf Schneider (2008)
Bollettino dell'Unione Matematica Italiana
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This is a survey over recent asymptotic results on random polytopes in d-dimensional Euclidean space. Three ways of generating a random polytope are considered: convex hulls of finitely many random points, projections of a fixed high-dimensional polytope into a random d-dimensional subspace, intersections of random closed halfspaces. The type of problems for which asymptotic results are described is different in each case.
Angle Sums of Convex Polytopes.
M.A. Perles, G.C. Shepard (1967)
Mathematica Scandinavica
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Approximating 3-dimensional convex bodies by polytopes with a restricted number of edges.
Böröczky, K.J., Fodor, F., Vígh, V. (2008)
Beiträge zur Algebra und Geometrie
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On a certain class of polytopes associated with independence systems.
A.B. Hansen (1977)
Mathematica Scandinavica
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A dual proof of the upper bound conjecture for convex polytopes.
Aage Bondesen, Arne Bronsted (1980)
Mathematica Scandinavica
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