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oaioai:HAL:hal-00666863v1

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

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Publication date
1 January 2011
Publisher
Springer
Doi

    Abstract

    International audienceIf C1 is the convex hull of the curve of a standard Brownian motion in the complex plane watched from 0 to 1, we consider the convex hulls of C1 and several rotations of it and compute the mean of the length of their perimeter by elementary calculations. This can be seen geometrically as a study of the exit time by a Brownian motion from certain polytopes having the unit circle as an inscribed one

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    HAL-INSA Toulouse

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    oaioai:HAL:hal-00666863v1
    Last time updated on 07/05/2019

    This paper was published in HAL-INSA Toulouse.

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