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Critical angles in random polyhedral cones
Authors:Daniel Gourion  Alberto Seeger
Institution:University of Avignon, Department of Mathematics, 33 rue Louis Pasteur, 84000 Avignon, France
Abstract:This work concerns the angular structure of random polyhedral cones generated by p stochastically independent vectors uniformly distributed on the unit sphere of Rn. We comment on the expected number of critical angles and the mathematical expectation of the extremal angles.
Keywords:Convex cone  Critical angle  Extremal angle  Random set
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