Abstract
In this paper we consider random polytopes generated by sampling points in multiple convex bodies. We prove related estimates for random determinants and give applications to several geometric inequalities.
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This article is part of the author’s Ph.D thesis, currently being written under the supervision of N. Tomczak-Jaegermann at the University of Alberta. The author holds an Izaak Walton Killam Memorial Scholarship.
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Pivovarov, P. On determinants and the volume of random polytopes in isotropic convex bodies. Geom Dedicata 149, 45–58 (2010). https://doi.org/10.1007/s10711-010-9462-2
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DOI: https://doi.org/10.1007/s10711-010-9462-2