Connectivity bounds for the vacant set of random interlacements
Vladas Sidoravicius, Alain-Sol Sznitman (2010)
Annales de l'I.H.P. Probabilités et statistiques
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The model of random interlacements on ℤ, ≥3, was recently introduced in [Vacant set of random interlacements and percolation. Available at http://www.math.ethz.ch/u/sznitman/preprints]. A non-negative parameter parametrizes the density of random interlacements on ℤ. In the present note we investigate connectivity properties of the vacant set left by random interlacements at level , in the non-percolative regime >∗, with ∗ the non-degenerate critical parameter for the percolation...