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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

Hastings' additivity counterexample and a sharp version of Dvoretzky theorem
Speaker(s): Stanislaw Szarek
Abstract: In this talk we will explain how the main step technical steps in the proofs by Hastings and Hayden-Winter of the non-additivity of the minimal output von Neumann and $p$-Renyi entropy (for any $p>1$) can be reduced to a sharp version of Dvoretzky's theorem on almost spherical sections of convex bodies. This substantially simplifies their analysis, at least on the conceptual level, and provides an alternative point of view on these and related questions. Joint work with G. Aubrun and E. Werner
Date: 06/07/2010 - 1:30 pm
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