TY - JOUR

T1 - On the hyperplane conjecture for random convex sets

AU - Klartag, Bo'Az

AU - Kozma, Gady

N1 - Funding Information:
∗ Supported by the Clay Mathematics Institute and by NSF grant #DMS-0456590 Received December 18, 2006 and in revised form July 4, 2007

PY - 2009/3

Y1 - 2009/3

N2 - Let N ≥ n + 1, and denote by K the convex hull of N independent standard gaussian random vectors in ℝ n. 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.

AB - Let N ≥ n + 1, and denote by K the convex hull of N independent standard gaussian random vectors in ℝ n. 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.

UR - http://www.scopus.com/inward/record.url?scp=65549092263&partnerID=8YFLogxK

U2 - 10.1007/s11856-009-0028-7

DO - 10.1007/s11856-009-0028-7

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AN - SCOPUS:65549092263

VL - 170

SP - 253

EP - 268

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

SN - 0021-2172

IS - 1

ER -