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arXiv · 1303.5677

Mean Width of Random Perturbations of Random Polytopes

David Alonso-Gutierrez·Joscha Prochno
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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.

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David Alonso-Gutierrez, Joscha Prochno. 2013-03-22. Mean Width of Random Perturbations of Random Polytopes. https://arxiv.org/abs/1303.5677

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