3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.PR2017
The size of the boundary in first-passage percolation
Michael Damron, Jack Hanson, Wai-Kit Lam
First-passage percolation is a random growth model defined using i.i.d. edge-weights on the nearest-neighbor edges of . An initial infection occupies the orig…
math.PR2017★ 3 cited
Strict inequality for the chemical distance exponent in two-dimensional critical percolation
Michael Damron, Jack Hanson, Philippe Sosoe
We provide the first nontrivial upper bound for the chemical distance exponent in two-dimensional critical percolation. Specifically, we prove that the expected length of the short…
math.PR2015
On the chemical distance in critical percolation
Michael Damron, Jack Hanson, Philippe Sosoe
We consider two-dimensional critical bond percolation. Conditioned on the existence of an open circuit in an annulus, we show that the ratio of the expected size of the shortest op…