Random Polytopes in the d- Dimensional Cube.
Z. Füredi (1986)
Discrete & computational geometry
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Displaying similar documents to “On the Convex Hull of Uniform Random Points in a Simple d-Polytope.”
Random Polytopes in the d- Dimensional Cube.
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.
Random polytopes in a convex polytope, independence of shape, and concentration of vertices.
Imre Bárány, Christian Buchta (1993)
Mathematische Annalen
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Intrinsic volumes and f-vectors of random polytopes.
Imre Bárány (1989)
Mathematische Annalen
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Expectation of Random Polytopes.
Peter M. Gruber (1996)
Manuscripta mathematica
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On Ray Shooting in Convex Polytopes.
J. Matousek, O. Schwarzkopf (1993)
Discrete & computational geometry
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The Mayer-Vietoris and IC Equations for Convex Polytopes.
J. Fine (1995)
Discrete & computational geometry
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Facet-Reducing Cuts of a Convex Polytope.
N. Prabhu (1995)
Discrete & computational geometry
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Invertible Relations on Polytopes.
G.T. Sallee (1987)
Discrete & computational geometry
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A purely combinatorial proof of the Hadwiger Debrunner conjecture.
Alon, N., Kleitman, D.J. (1997)
The Electronic Journal of Combinatorics [electronic only]
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Exterior Algebra and Projections of Polytopes.
P. Filliman (1990)
Discrete & computational geometry
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Two Poset Polytopes.
R.P. Stanley (1986)
Discrete & computational geometry
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Random polytopes and the volume-product of symmetric convex bodies.
Shlomo Reisner (1985)
Mathematica Scandinavica
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