4 papers
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…
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…
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…
5n Minkowski symmetrizations suffice to arrive at an approximate Euclidean ball
Bo'az Klartag
This paper proves that for every convex body in R^n there exist 5n-4 Minkowski symmetrizations, which transform the body into an approximate Euclidean ball. This result complements…