41 citations · 313 across the 45 of their papers we have counts for
5 papers · 1 filter
Superlinearity of geodesic length in 2 critical first-passage percolation
Michael Damron, Pengfei Tang
First-passage percolation is the study of the metric space , where is a random metric defined as the weighted graph metric using random edge-weights $(t_e)_{e…
Arm events in two-dimensional invasion percolation
Michael Damron, Jack Hanson, Philippe Sosoe
We compare the probabilities of arm events in two-dimensional invasion percolation to those in critical percolation. Arm events are defined by the existence of a prescribed color s…
Entropy reduction in Euclidean first-passage percolation
Michael Damron, Xuan Wang
The Euclidean first-passage percolation (FPP) model of Howard and Newman is a rotationally invariant model of FPP which is built on a graph whose vertices are the points of homogen…
Recent work on chemical distance in critical percolation
Michael Damron
In this note, we describe some of the progress recently made on questions regarding the chemical distance in two-dimensional critical percolation by the author, J. Hanson, and P. S…
On the chemical distance in critical percolation II
Michael Damron, Jack Hanson, Philippe Sosoe
We continue our study of the chemical (graph) distance inside large critical percolation clusters in dimension two. We prove new estimates, which involve the three-arm probability,…