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

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Letac, Philippe Biane Gérard
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Abstract
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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.
Keywords
Mathematics - Probability, 60J65
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