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Lyapunov exponents for the one-dimensional parabolic Anderson model with drift.

Drewitz, Alexander — 2008

Electronic Journal of Probability [electronic only]

Local percolative properties of the vacant set of random interlacements with small intensity

Alexander Drewitz; Balázs Ráth; Artëm Sapozhnikov — 2014

Annales de l'I.H.P. Probabilités et statistiques

Random interlacements at level $u$ is a one parameter family of connected random subsets of $ℤ^{d}$ , $d \geq 3$ ( (2010) 2039–2087). Its complement, the vacant set at level $u$ , exhibits a non-trivial percolation phase transition in $u$ ( (2009) 831–858; (2010) 2039–2087), and the infinite connected component, when it exists, is almost surely unique ( (2009) 454–466). In this paper we study local percolative properties of the vacant set of random interlacements...

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