2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120186Let N > n, and denote by K the convex hull of N independent standard gaussian random vectors in an n-dimensional Euclidean space. 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.14 pagesMetric GeometryProbability52A20 (52A38, 46B07)text