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Abstract: We discuss connections between certain well-known open problems related tothe uniform measure on a high-dimensional convex body. In particular, we showthat the -thin shell conjecture- implies the -hyperplane conjecture-. Thisextends a result by K. Ball, according to which the stronger -spectral gapconjecture- implies the -hyperplane conjecture-.



Autor: Ronen Eldan, Bo'az Klartag

Fuente: https://arxiv.org/



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