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math.PR2018
Poisson percolation on the oriented square lattice
Irina Cristali, Matthew Junge, Rick Durrett
In Poisson percolation each edge becomes open after an independent exponentially distributed time with rate that decreases in the distance from the origin. As a sequel to our work…
math.PR2017
Poisson percolation on the square lattice
Irina Cristali, Matthew Junge, Rick Durrett
On the square lattice raindrops fall on an edge with midpoint at rate . The edge becomes open when the first drop falls on it. Let be the probabilit…