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Lecture 2: Concentration of measure (tutorial)

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If you have a question about this talk, please contact Mustapha Amrani .

Mathematical Challenges in Quantum Information

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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