1 citations · 1 across the 4 of their papers we have counts for
4 papers
Road layout in the KPZ class
Márton Balázs, Sudeshna Bhattacharjee, Karambir Das +1
We propose a road layout and traffic model, based on last passage percolation (LPP). An easy naive argument shows that coalescence of traffic trajectories is essential to be consid…
An upper bound on geodesic length in 2D critical first-passage percolation
Erik Bates, David Harper, Xiao Shen +1
We consider i.i.d. first-passage percolation (FPP) on the two-dimensional square lattice, in the critical case where edge-weights take the value zero with probability $\tfrac{1}{2}…
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…
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…