Showing math.MGShow all
3 papers · 1 filter
math.MG2003
An isomorphic version of the slicing problem
B. Klartag
Here we show that any n-dimensional centrally symmetric convex body K has an n-dimensional perturbation T which is convex and centrally symmetric, such that the isotropic constant…
math.MG2003
On John-Type Ellipsoids
B. Klartag
Given an arbitrary convex symmetric n-dimensional body, we construct a natural and non-trivial continuous map which associates ellipsoids to ellipsoids, such that the Lowner-John e…
math.MG2003
Rate of convergence of geometric symmetrizations
B. Klartag
It is a classical fact, that given an arbitrary n-dimensional convex body, there exists an appropriate sequence of Minkowski symmetrizations (or Steiner symmetrizations), that conv…