[Banach] Abstract of a paper by Daniel J. Fresen and Richard A. Vitale

This is an announcement for the paper "Concentration of random polytopes around the expected convex hull" by Daniel J. Fresen and Richard A. Vitale.

Abstract: We provide a streamlined proof and improved estimates for the weak multivariate Gnedenko law of large numbers on concentration of random polytopes within the space of convex bodies (in a fixed or a high dimensional setting), as well as a corresponding strong law of large numbers.

Archive classification: math.PR math.FA

Mathematics Subject Classification: 60D05, 60F99, 52A20, 52A22, 52B11

Remarks: 8 pages

Submitted from: daniel.fresen@yale.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1402.2718

or

http://arXiv.org/abs/1402.2718