Live Plenary Talks
Ronen Eldan (Weizmann Institute) - Thursday, 15:30 - zoom room 7
Title: Analysis of high-dimensional systems via pathwise techniques
Abstract: A common motif in high dimensional probability and geometry is that the behavior of objects of interest is often dictated by their marginals onto a fixed number of directions. This is manifested in the fact that several classical functional inequalities are dimension-free (hence, have no explicit dependence on the dimension), the extremizers of those inequalities being functions that only depend on a fixed number of variables. Another related example comes from statistical mechanics, where Gibbs measures can often be decomposed into measures which exhibit a "product-like" structure.