Abstract
In this chapter we give the first definition of random interlacements at level u > 0 as a random subset of \({\mathbb{Z}}^{d}\). We then prove that it has polynomially decaying correlations and is invariant and ergodic with respect to the lattice shifts.
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Drewitz, A., Ráth, B., Sapozhnikov, A. (2014). Random Interlacements: First Definition and Basic Properties. In: An Introduction to Random Interlacements. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-05852-8_2
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DOI: https://doi.org/10.1007/978-3-319-05852-8_2
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