2 papers
math.PR2004
An LIL for cover times of disks by planar random walk and Wiener sausage
J. Ben Hough, Yuval Peres
Let R_n be the radius of the largest disk covered after n steps of a simple random walk. We prove that almost surely limsup_{n \to \infty}(log R_n)^2/(log n log_3 n) = 1/4, where l…
math.PR2004
Asymptotic Behavior of Random Heaps
J. Ben Hough
We study the asymptotic behavior of a random walk on the locally free group, and disprove a conjecture concerning the expected number of removeable generators.