论文标题
从交叉体到双质心体：一种随机方法等速度法
From intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry
论文作者
论文摘要
我们为在交叉体和双LP质心体之间插值的集合建立了一个等等不平等的家族。这提供了Busemann交叉路口不平等与Lutwak-Zhang不平等之间的桥梁。该方法取决于这些不平等的新经验版本。
We establish a family of isoperimetric inequalities for sets that interpolate between intersection bodies and dual Lp centroid bodies. This provides a bridge between the Busemann intersection inequality and the Lutwak--Zhang inequality. The approach depends on new empirical versions of these inequalities.
