3 citations · 8 across the 12 of their papers we have counts for
17 papers · 1 filter
Transitions for exceptional times in dynamical first-passage percolation
Michael Damron, Jack Hanson, David Harper +1
In first-passage percolation (FPP), we let be i.i.d. nonnegative weights on the vertices of a graph and study the weight of the minimal path between distant vertices. If $F…
Stretched exponential decay for subcritical parking times on
Michael Damron, Hanbaek Lyu, David Sivakoff
In the parking model on , each vertex is initially occupied by a car (with probability ) or by a vacant parking spot (with probability ). Cars perform indepen…
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…
Absence of backward infinite paths for first-passage percolation in arbitrary dimension
Gerandy Brito, Michael Damron, Jack Hanson
In first-passage percolation (FPP), one places nonnegative random variables (weights) on the edges of a graph and studies the induced weighted graph metric. We consider FPP…
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…