3 citations · 8 across the 14 of their papers we have counts for
5 papers · 2 filters
Non-Optimality of Invaded Geodesics in 2d Critical First-Passage Percolation
Michael Damron, David Harper
We study the critical case of first-passage percolation in two dimensions. Letting be i.i.d. nonnegative weights assigned to the edges of with $\mathbb{P}(t_…
Universality of the time constant for critical first-passage percolation
Michael Damron, Jack Hanson, Wai-Kit Lam
We consider first-passage percolation (FPP) on the triangular lattice with vertex weights whose common distribution function satisfies . This is known as the…
The acceptance profile of invasion percolation at in two dimensions
Bounghun Bock, Michael Damron
Invasion percolation is a stochastic growth model that follows a greedy algorithm. After assigning i.i.d. uniform random variables (weights) to all edges of , the gro…
Zero-temperature Glauber dynamics on the 3-regular tree and the median process
Michael Damron, Arnab Sen
In zero-temperature Glauber dynamics, vertices of a graph are given i.i.d.~initial spins from with , and they update their spins a…
Sublinear variance in Euclidean first-passage percolation
Megan Bernstein, Michael Damron, Torin Greenwood
The Euclidean first-passage percolation model of Howard and Newman is a rotationally invariant percolation model built on a Poisson point process. It is known that the passage time…