On expected number of maximal points in polytopes
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07), DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07) (2007).

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We answer an old question: what are possible growth rates of the expected number of vector-maximal points in a uniform sample from a polytope.
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Baryshnikov, Yu. On expected number of maximal points in polytopes. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07), DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07) (2007). doi : 10.46298/dmtcs.3547. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3547/

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