Percolation for the Vacant Set of Random Interlacements

We investigate random interlacements on Z, d ≥ 3. This model recently introduced in [8] corresponds to a Poisson cloud on the space of doubly infinite trajectories modulo time-shift tending to infinity at positive and negative infinite times. A non-negative parameter u measures how many trajectories enter the picture. Our main interest lies in the… CONTINUE READING