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math.FA2016
Upper bound for the Dvoretzky dimension in Milman-Schechtman theorem
Han Huang, Feng Wei
For a symmetric convex body , the Dvoretzky dimension is the largest dimension for which a random central section of is almost spherical. A Dvoretz…
math.MG2016
John Ellipsoid and the Center of Mass of a Convex Body
Han Huang
It is natural to ask whether the center of mass of a convex body lies in its John ellipsoid , i.e., in the maximal volume ellipsoid contained in . T…