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The Geometry of Random {-1,1}-Polytopes

Mendelson, Shahar; Pajor, Alain; Rudelson, M

Description

Random {-1,1}-polytopes demonstrate extremal behavior with respect to many geometric characteristics. We illustrate this by showing that the combinatorial dimension, entropy and Gelfand numbers of these polytopes are extremal at every scale of their arguments.

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
URI: http://hdl.handle.net/1885/79789
Source: Discrete and Computational Geometry
DOI: 10.1007/s00454-005-1186-y

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