שלחו לחבר

Approximations of convex bodies by measure-generated sets

Seminar
Speaker
Dr. Boaz Slomka, University of Michigan, USA
Date
25/12/2017 - 15:00 - 14:00
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.

תאריך עדכון אחרון : 12/12/2017