Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-07-06
Phys. Rev. Lett. 103, 140602 (2009)
Physics
Condensed Matter
Statistical Mechanics
4 pages Revtex, 4 figures included, published version
Scientific paper
We compute exactly the mean perimeter and area of the convex hull of N independent planar Brownian paths each of duration T, both for open and closed paths. We show that the mean perimeter < L_N > = \alpha_N, \sqrt{T} and the mean area
Comtet Alain
Majumdar Satya N.
Randon-Furling Julien
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