论文标题

某些凸形机构的极端部分和预测:一项调查

Extremal sections and projections of certain convex bodies: a survey

论文作者

Nayar, Piotr, Tkocz, Tomasz

论文摘要

我们调查了有关某些凸形机构(主要是$ \ ell_p $ balls by y lowndim dimensional子空间)的部分(主要是$ \ ell_p $ balls)的幅度和投影的尖锐估计结果的结果。该主题来自几十年前数字的几何形状,从那时起,本次调查中展示了多种概率和分析方法的发展。

We survey results concerning sharp estimates on volumes of sections and projections of certain convex bodies, mainly $\ell_p$ balls, by and onto lower dimensional subspaces. This subject emerged from geometry of numbers several decades ago and since then has seen development of a variety of probabilistic and analytic methods, showcased in this survey.

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