关于两个凸体的随机交线。附录：R.Vershynin的“腰的等周性和局部与全局渐近凸几何”
On random intersections of two convex bodies. Appendix to: "Isoperimetry of waists and local versus global asymptotic convex geometries" by R.Vershynin
摘要：
在“Isoperimetry of waists and local versus global asymptomatic convex geometries”一文中，证明了两个对称凸体K和L的良有界截面的存在性意味着随机旋转的K和L的交是良有界的.在本附录中，我们实现了该交点直径的多项式界限（截面尺寸的比率）。
英文摘要：
In the paper "Isoperimetry of waists and local versus global asymptotic convex geometries", it was proved that the existence of nicely bounded sections of two symmetric convex bodies K and L implies that the intersection of randomly rotated K and L is nicely bounded. In this appendix, we achieve a polynomial bound on the diameter of that intersection (in the ratio of the dimensions of the sections).
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。
