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Lecture 2: Concentration of measure (tutorial)

Date: 
Friday 6th September 2013 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
I will present an overview of the concentration of measure phenomenon, results and techniques, starting with Levy's isoperimetric inequality on the Euclidean sphere and following up with examples in other settings: Gaussian, discrete etc. I will also sketch some applications such as Dvoretzky's theorem on almost spherical sections of convex bodies and indicate some links to quantum information.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons