Centroid Bodies and the Logarithmic Laplace Transform - A Unified Approach

By Bo'az Klartag, Emanuel Milman. 2011

102 citations recorded by the source corpus.

We unify and slightly improve several bounds on the isotropic constant of high-dimensional convex bodies; in particular, a linear dependence on the body's psi-2 constant is obtained. Along the way, we present some new bounds on the volume of L_p-centroid bodies and yet another equivalent formulation of Bourgain's hyperplane conjecture. Our method is a combination of the L_p-centroid body technique of Paouris and the logarithmic Laplace transform technique of the first named author.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/a34e08cbef3a5b0bba53935aa028c17f9c0897af

Citations in the corpus

• A probabilistic take on isoperimetric-type inequalities (2012, unknown): “, [28], [21], [17], [19].”