3 papers
math.PR2020
Random nearest neighbor graphs: the translation invariant case
Bounghun Bock, Michael Damron, Jack Hanson
If is a family of random variables (weights) assigned to the edges of , the nearest neighbor graph is the directed graph induced by all edges $\langle x,y \r…
math.PR2019
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…
math.PR2018
Percolation of finite clusters and shielded paths
Bounghun Bock, Michael Damron, C. M. Newman +1
In independent bond percolation on with parameter , if one removes the vertices of the infinite cluster (and incident edges), for which values of does the rem…