Concentration and anti-concentration inequalities for norms (in-person talk)

Concentration and anti-concentration inequalities for norms (in-person talk)

-
Grigoris Paouris, Texas A&M University
Fine Hall 314

In-Person and Online Talk 

We will discuss refinements of the concentration phenomenon in normed spaces with respect to the Gaussian measure. It is known that norms, as Lipschitz functions, concentrate around its mean, but this approach based on isoperimetry usually fails to provide sharp estimates. We will discuss a new approach based on convexity that captures the super-concentration phenomenon and provides new one-sided concentration inequalities. We will discuss applications of the above results  to asymptotic convex geometry. 

Based on joint work(s) with Petros Valettas and Konstantin Tikhomirov.

Zoom link: https://princeton.zoom.us/j/92147928280?pwd=aGJ4VStpUTI2RWh1Y2FqTjlGQnZGQT09