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

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

2009-05-14

arxiv.org/abs/0905.2256v1

Mathematics

Probability

Scientific paper

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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