[Banach] Abstract of a paper by David Alonso-Gutierrez and Joscha Prochno

This is an announcement for the paper "Mean width of random perturbations of random polytopes" by David Alonso-Gutierrez and Joscha Prochno. Abstract: We prove some "high probability" results on the expected value of the mean width for random perturbations of random polytopes. The random perturbations are considered for Gaussian and $p$-stable random vectors, as well as uniform distributions on $\ell_p^N$-balls and the unit sphere. Archive classification: math.FA math.PR Mathematics Subject Classification: Primary 52A22, Secondary 52A23, 05D40 Submitted from: joscha.prochno@jku.at The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1303.5677 or http://arXiv.org/abs/1303.5677