Embroidery with Buffon's needle
Amit Deshpande
MIT, USA.
16-01-04

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Abstract

Given $n$ independent Gaussian random points of variance $1$ in the plane, what is the expected size of their convex hull ? We will prove weaker version of a result about it by Renyi-Salanke. In the process, we will see some of the tools borrowed from geometric probability and integral geometry that are used in smoothed analysis of algorithms.