近似高斯边缘与超平面猜想
Approximately gaussian marginals and the hyperplane conjecture
摘要：
本文讨论了高维凸体上一致测度相关的几个著名公开问题之间的联系。特别地，我们证明了“薄壳猜想”蕴涵着“超平面猜想”。这将一个结果推广了K。球，根据这一点，更强的“谱隙猜想”意味着“超平面猜想”。
英文摘要：
We discuss connections between certain well-known open problems related to the uniform measure on a high-dimensional convex body. In particular, we show that the "thin shell conjecture" implies the "hyperplane conjecture". This extends a result by K. Ball, according to which the stronger "spectral gap conjecture" implies the "hyperplane conjecture".
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
