23 citations · 29 across the 4 of their papers we have counts for
4 papers
Some partial results on the convergence of loop-erased random walk to SLE(2) in the natural parametrization
Tom Alberts, Michael J. Kozdron, Robert Masson
We outline a strategy for showing convergence of loop-erased random walk on the Z^2 square lattice to SLE(2), in the supremum norm topology that takes the time parametrization of t…
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…
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)…
The growth exponent for planar loop-erased random walk
Robert Masson
We give a new proof of a result of Kenyon that the growth exponent for loop-erased random walks in two dimensions is 5/4. The proof uses the convergence of LERW to Schramm-Loewner…