Estimating Support Functions of Random Polytopes via Orlicz Norms |
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| Authors: | David Alonso-Gutiérrez Joscha Prochno |
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| Institution: | 1. Department of Mathematical and Statistical Sciences, University of Alberta, 505 Central Academic Building, Edmonton, T6G 2G1, Canada
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| 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 using probabilistic estimates in terms of Orlicz norms that were not used in this connection before. |
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