The reverse isoperimetric problem for Gaussian measure
The reverse isoperimetric problem for Gaussian measure
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高斯测度的逆等周问题
DOI：
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发表时间：
1993
影响因子：
0.8
通讯作者：
K. Ball
中科院分区：
文献类型：
--
作者：
K. Ball
本文证明了：如果g是n上的标准高斯密度，C是n上的凸体
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$$\int_{\partial C}{g\leqslane 4n ^{1/4}}$$
提出的论点在积分几何中提出了几个问题。
AbstractIt is shown that ifg is the standard Gaussian density on ℝn andC is a convex body in ℝn
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$$\int_{\partial C} {g \leqslant 4n^{1/4} }$$
.The arguments presented raise several questions in integral geometry.