57 citations · 220 across the 14 of their papers we have counts for
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math.PR2010★ 45 cited
Connectivity properties of random interlacement and intersection of random walks
Balázs Ráth, Artëm Sapozhnikov
We consider the interlacement Poisson point process on the space of doubly-infinite Z^d-valued trajectories modulo time-shift, tending to infinity at positive and negative infinite…
math.PR2010★ 11 cited
Limit theorems for 2D invasion percolation
Michael Damron, Artëm Sapozhnikov
We prove limit theorems and variance estimates for quantities related to ponds and outlets for 2D invasion percolation. We first exhibit several properties of a sequence $({\mathbf…