Mathematics – Probability
Scientific paper
2003-05-31
Mathematics
Probability
16 pages, 7 figures
Scientific paper
We consider a random walk in the plane which takes steps uniformly distributed on the unit circle centered around the walker's current position but avoids the convex hull of its past positions. This model has been introduced by Angel, Benjamini and Virag. We show a large deviation estimate for the distance of the walker from the origin, which implies that the walker has positive lim inf speed.
Zerner Martin P. W.
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