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math.PR2011
The incipient infinite cluster does not stochastically dominate the invasion percolation cluster in two dimensions
Artem Sapozhnikov
This note is motivated by results in arXiv:math/0608132 and arXiv:0806.2425 about global relations between the invasion percolation cluster (IPC) and the incipient infinite cluster…
math.PR2011
On the transience of random interlacements
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…