Size of Line Intersections in High Dimensional L_p-Balls and Product Measures

Size of Line Intersections in High Dimensional L_p-Balls and Product Measures

Explore a fascinating mathematical presentation on the size of line intersections in high-dimensional L_p-balls and product measures. Delve into the isodiametric inequality and its implications for n-dimensional convex bodies. Investigate whether a subset of a convex body can have significantly smaller line intersections than predicted by the inequality. Examine joint work with D. Elboim, presented by Bo'az Klartag from the Weizmann Institute of Science at IPAM's Calculus of Variations in Probability and Geometry Workshop.