Geodesic
Recent Results on Random Polytopes
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 17-39

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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. 
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     title = {Recent {Results} on {Random} {Polytopes}},
     journal = {Bollettino della Unione matematica italiana},
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     year = {2008},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a1/}
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Schneider, Rolf. Recent Results on Random Polytopes. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 17-39. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a1/