Abstract
The notion of influences in the Boolean cube has a natural extension to Gaussian space. In this talk, I will explain the how this new definition of influences leads to the analogs of several fundamental results of discrete harmonic analysis including the Kahn–Kalai–Linial bound, the threshold phenomenon for monotone events and the Benjamini–Kalai–Schramm noise sensitivity theorem in the Gaussian setup.
This talk is based on joint work with Nathan Keller and Elchanan Mossel.