Isoperimetry of waists and local versus global asymptotic convex geometries
Isoperimetry of waists and local versus global asymptotic convex geometries
If two symmetric convex bodies K and L both have nicely bounded sections, then the intersection of random rotations of K and L is also nicely bounded. For L being a subspace, this main result immediately yields the unexpected existence versus prevalence phenomenon: If K has one nicely bounded section, …