The probability that a fixed edge of a simple symmetric random walk on Z^2 lies on the boundary of the convex hull of the visited points has a specific asymptotic decay as the walk length tends to infinity.
Über die konvexe Hülle von n zufällig gewählten Punkten.Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, 1963, vol
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Asymptotic probability of a fixed edge being on the boundary of the convex hull of a random walk in $\mathbb{Z}^2$
The probability that a fixed edge of a simple symmetric random walk on Z^2 lies on the boundary of the convex hull of the visited points has a specific asymptotic decay as the walk length tends to infinity.