23 citations · 29 across the 4 of their papers we have counts for
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math.PR2009★ 2 cited
Spectral dimension and random walks on the two dimensional uniform spanning tree
Martin T. Barlow, Robert Masson
We study simple random walk on the uniform spanning tree on Z^2 . We obtain estimates for the transition probabilities of the random walk, the distance of the walk from its startin…
math.PR2009★ 23 cited
Exponential tail bounds for loop-erased random walk in two dimensions
Martin T. Barlow, Robert Masson
Let be the number of steps of the loop-erasure of a simple random walk on from the origin to the circle of radius . We relate the moments of to $Es(n)…