The mean perimeter of some random plane convex sets generated by a Brownian motion

Philippe Biane Gérard Letac

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arXiv · 0905.2256

The mean perimeter of some random plane convex sets generated by a Brownian motion

Philippe Biane Gérard Letac

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Abstract

If $C_1$ is the convex hull of the curve of the standard Brownian motion in the complex plane watched from 0 to 1, we consider the convex hulls of $C_1$ and several rotations of it and we compute the mean of the length of their perimeter by elementary calculations.

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Philippe Biane Gérard Letac. 2009-05-14. The mean perimeter of some random plane convex sets generated by a Brownian motion. https://arxiv.org/abs/0905.2256

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