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The logarithmic Laplace transform in convex geometry

The logarithmic Laplace transform in convex geometry

Update: 2011-06-24
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My plan is to give a slow introduction to the use of the logarithmic Laplace transform in obtaining bounds on the isotropic constants of convex bodies. We will review the proofs of Bourgain's n^{1/4} bound, the bound by the width of the thinshell, and the bound in term of the sub-gaussian coefficient. This talk is based on joint works with Ronen Eldan and with Emanuel Milman.
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The logarithmic Laplace transform in convex geometry

The logarithmic Laplace transform in convex geometry

Steve Greenham