This is an announcement for the paper "Estimating support functions of random polytopes via Orlicz norms" by David Alonso-Gutierrez and Joscha Prochno.
Abstract: 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.
Archive classification: math.FA
Mathematics Subject Classification: Primary 52A22, Secondary 52A23, 05D40, 46B09
Submitted from: prochno@math.uni-kiel.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1205.2023
or