Approximations of convex bodies by measure-generated sets
Seminar
Speaker
Dr. Boaz Slomka, University of Michigan, USA
Date
25/12/2017 - 15:00 - 14:00Add to Calendar
2017-12-25 14:00:00
2017-12-25 15:00:00
Approximations of convex bodies by measure-generated sets
Abstract: We present a construction of convex bodies from Borel measures on ${\mathbb R}^n$.
This construction allows us to study natural extensions of problems concerning the approximation
of convex bodies by polytopes. In particular, we study a variation of the vertex index which, in
a sense, measures how well a convex body can be inscribed into a polytope with small number of
vertices. We discuss several estimates for these quantities, as well as an application to bounding
certain average norms. Based on joint work with Han Huang.
2nd floor Colloquium Room, Building 216
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
2nd floor Colloquium Room, Building 216
Abstract
Abstract: We present a construction of convex bodies from Borel measures on ${\mathbb R}^n$.
This construction allows us to study natural extensions of problems concerning the approximation
of convex bodies by polytopes. In particular, we study a variation of the vertex index which, in
a sense, measures how well a convex body can be inscribed into a polytope with small number of
vertices. We discuss several estimates for these quantities, as well as an application to bounding
certain average norms. Based on joint work with Han Huang.
Last Updated Date : 12/12/2017
