Balazs Rath

The random interlacement point process (introduced by Sznitman, generalized by Teixeira) is a Poisson point process on the space of labeled doubly infinite nearest neighbour trajectories modulo time-shift on a transient graph G. We show that the...

The random interlacements (at level u) is a one parameter family of random subsets of Z^d (d>=3), introduced recently by A.-S. Sznitman, which arises as the local limit of the trace of a simple random walk on a d-dimensional torus, when the size of...

We provide general conditions on a one parameter family of random infinite subsets of Z^d to contain a unique infinite connected component for which the chemical distances are comparable to the Euclidean distances, focusing primarily on models with...