41 citations · 120 across the 19 of their papers we have counts for
26 papers
Exceptional behavior in critical first-passage percolation and random sums
Michael Damron, Jack Hanson, David Harper +1
We study first-passage percolation (FPP) on the square lattice. The model is defined using i.i.d. nonnegative random edge-weights associated to the nearest neighbor edges o…
The number of geodesics in planar first-passage percolation grows sublinearly
Daniel Ahlberg, Jack Hanson, Christopher Hoffman
We study a random perturbation of the Euclidean plane, and show that it is unlikely that the distance-minimizing path between the two points can be extended into an infinite distan…
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…
Subcritical Connectivity and Some Exact Tail Exponents in High Dimensional Percolation
Shirshendu Chatterjee, Jack Hanson, Philippe Sosoe
In high dimensional percolation at parameter , the one-arm probability is known to decay exponentially on scale . We show the same statement for…
Estimates for the empirical distribution along a geodesic in first-passage percolation
Michael Damron, Jack Hanson, Christopher Janjigian +2
In first-passage percolation, we assign i.i.d.~nonnegative weights to the nearest-neighbor edges of and study the induced pseudometric . In this…
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…