No return to convexity

نویسنده

  • Jakub Onufry Wojtaszczyk
چکیده

In the paper we study closures of classes of log–concave measures under taking weak limits, linear transformations and tensor products. We consider what uniform measures on convex bodies can one obtain starting from some class K. In particular we prove that if one starts from one–dimensional log–concave measures, one obtains no non– trivial uniform mesures on convex bodies.

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تاریخ انتشار 2009