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Showing 2003 · math.PRShow all
3 papers · 2 filters
math.PR2003
Thick points for the Cauchy process
Olivier Daviaud
Let $\mathcal{T}(x,\eps)$ denote the occupation measure of an interval of length $2\eps$ centered at by the Cauchy process run until it hits . We p…
math.PR2003★ 61 cited
Monotone properties of random geometric graphs have sharp thresholds
Ashish Goel, Sanatan Rai, Bhaskar Krishnamachari
Random geometric graphs result from taking uniformly distributed points in the unit cube, , and connecting two points if their Euclidean distance is at most , for s…
math.PR2003
On the speed of a planar random walk avoiding its past convex hull
Martin P. W. Zerner
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 pa…