论文信息 - Random projections of regular polytopes

Random projections of regular polytopes

Abstract. Based on an approach of Affentranger & Schneider we give an asymptotic formula for the expected number of k-faces of the orthogonal projection of a regular n-crosspolytope onto a randomly chosen isotropic subspace of fixed dimension, as n tends to infinity. In particular, we present a precise asymptotic formula for the (spherical) volume of spherical regular simplices, which generalizes Daniel's formula.

J. K. Böröczky | M. Henk

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