57 citations · 200 across the 32 of their papers we have counts for
3 papers · 2 filters
On chemical distances and shape theorems in percolation models with long-range correlations
Alexander Drewitz, Balazs Rath, Artem Sapozhnikov
In this paper 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 dist…
Local percolative properties of the vacant set of random interlacements with small intensity
Alexander Drewitz, Balazs Rath, Artem Sapozhnikov
Random interlacements at level u is a one parameter family of connected random subsets of Z^d, d>=3 introduced in arXiv:0704.2560. Its complement, the vacant set at level u, exhibi…
Effective Polynomial Ballisticity Condition for Random Walk in Random Environment
Noam Berger, Alexander Drewitz, Alejandro F. Ramírez
The conditions which have been introduced by Sznitman in 2002, have had a significant impact on research in random walk in random environment. Among others,…