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Geometry of Isotropic Convex Bodies

Geometry of Isotropic Convex Bodies

Background from asymptotic convex geometry Isotropic log-concave measures Hyperplane conjecture and Bourgain's upper bound Partial answers L q -centroid bodies and concentration of mass Bodies with maximal isotropic constant Logarithmic Laplace transform and the isomorphic slicing problem Tail estimates for linear functionals M and M? *-estimates Approximating the covariance matrix …