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