Cotorsion pairs associated with Auslander categories |
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| Authors: | Edgar E Enochs Henrik Holm |
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| Institution: | (1) Department of Mathematics, Princeton University, Princeton, NJ 08544, USA;(2) Department of Mathematics, Weizmann Institute of Science, Rehovot, 76100, Israel |
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| Abstract: | Let N ≥ n + 1, and denote by K the convex hull of N independent standard gaussian random vectors in ℝn. We prove that with high probability, the isotropic constant of K is bounded by a universal constant. Thus we verify the hyperplane conjecture for the class of gaussian random polytopes.
Supported by the Clay Mathematics Institute and by NSF grant #DMS-0456590 |
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