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Regularization of star bodies by random hyperplane cut off

V. D. Milman, A. Pajor (2003)

Studia Mathematica

We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low M*-estimates, large Euclidean sections of finite volume-ratio spaces and others.

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