Seminar

The concentration of measure is a basic tool with various applications in geometric functional analysis. Unlike in the isomorphic theory, in the almost isometric context more delicate forms of it are required. In this talk we will discuss how one can take advantage of the linear structure of the normed space in order to establish almost optimal small deviation estimates for the corresponding norm. We will also present an application of the latter on estimates in Dvoretzky’s theorem. (Based on joint work with G. Paouris).