Random projections of regular simplices |
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Authors: | Fernando Affentranger Rolf Schneider |
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Institution: | (1) Mathematisches Institut, Albert-Ludwigs-Universität, Albertstrasse 23b, W-7800 Freiburg i. Br., Federal Republic of Germany |
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Abstract: | Precise asymptotic formulae are obtained for the expected number ofk-faces of the orthogonal projection of a regularn-simplex inn-space onto a randomly chosen isotropic subspace of fixed dimension or codimension, as the dimensionn tends to infinity.F. Affentranger was supported by a grant from the Swiss National Foundation. |
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