题目：On random approximations of pi

摘要: We present some results on random approximations of $\pi$ by using the semiperimeter or area of a random $n$-sided polygon inscribed in or circumscribed about a unit circle in the plane. We show that, with probability 1, these approximations converge to $\pi$ as $n$ tends to infinity, and their distributions are also asymptotically normal. Furthermore, by combining both the semiperimeter and area of these random polygons, we also construct extrapolation improvements that can significantly speed up the convergence of these approximations.

报 告 人：徐文青教授，北京工业大学

报告时间：2018年9月9日（星期日）下午16：00~16：40

报告地点：数学科学学院38号楼报告厅

主办单位：数学科学学院

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