Small ball probability estimates, ?_2-behavior and the hyperplane conjecture
Speaker:
Nikolaos Dafnis, University of Athens
Date and Time:
Friday, September 17, 2010 - 11:15am to 11:35am
Location:
Fields Institute, Room 230
Abstract:
We introduce a method which leads to upper bounds for the isotropic constant. We prove that a positive answer to the hyperplane conjecture is equivalent to some very strong small
probability estimates for the Euclidean norm on isotropic convex bodies. As a consequence of our method, we obtain an alternative proof of the result of J. Bourgain that every ?2-body has bounded isotropic constant, with a slightly better estimate.