"Functional Inequalities in One Dimensional Free Probability" Ionel Popescu (Georgia Institute of Technology,USA)
Abstract
Combining random matrices and classical functional
inequalities as Talagrand's, Log-Sobolev, Brunn-Minkowski and
Poincare, one can get (and sometimes even prove) the analogues of the
functional inequalities in one dimensional free probability.
What we will show is a new approach to proving these inequalities
which does not involve any random matrices.