Lecture 1: Concentration of measure (tutorial)

Duration: 1 hour 2 mins
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Description: Szarek, SJ (Case Western Reserve University)
Thursday 05 September 2013, 14:00-15:00
 
Created: 2013-09-06 15:01
Collection: Mathematical Challenges in Quantum Information
Publisher: Isaac Newton Institute
Copyright: Szarek, SJ
Language: eng (English)
 
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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