Analysis and Probability Seminar- September 15, 2015

Tuesday, September 15, 2015 (3:00 p.m. in Yost 306)

Title: On the approximation of a polytope by its dual L_p-centroid bodies

Speaker: Elisabeth Werner (Professor, Mathematics, Applied Mathematics, & Statistics, Case Western Reserve University)

Abstract: We show that the rate of convergence on the approximation of volumes of a convex symmetric polytope P in R^n by its dual L_p-centroid bodies is independent of the geometry of P. We provide an application to the approximation of polytopes by uniformly convex sets.

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