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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…
math.PR2017
Block size in Geometric(p)-biased permutations
Irina Cristali, Vinit Ranjan, Jake Steinberg +4
Fix a probability distribution on the positive integers. The first block in a -biased permutation can be visualized in terms of raindrop…