2012/05/09 by David Alonso–Gutiérrez, Joscha Prochno, Alonso-Gutierrez, David +1
Mathematics · #05D40 #46B09 (Secondary) #52A22 (Primary) 52A23 #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Mathematical Inequalities and Applications #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.1205.2023
openalex publication_date 2012/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the expected value of support functions of random polytopes in a certain direction, where the random polytope is given by independent random vectors uniformly distributed in an isotropic convex body. All results are obtained by an utterly novel approach, using probabilistic estimates in connection with Orlicz norms that were not used in this connection before.