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

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.

Cited by in corpus (1)

• Random Convex Hulls and Extreme Value Statistics