Event Type:

Analysis Seminar

Date/Time:

Monday, February 23, 2015 - 12:00 to 13:00

Location:

Kidder 356

Guest Speaker:

Mathew Titus

Institution:

Graduate Student

Abstract:

We give a probabilistic proof of Dvoretzky's theorem, showing that high dimensional convex bodies contain almost Euclidean cross-sections. The approach utilizes a concentration of measure-type inequality due to C. Borell. Other applications of the concentration of measure phenomenon will be discussed.