On the internal distance in the interlacement set
Černý, Jiří · Popov, Serguei
Original · EN
We prove a shape theorem for the internal (graph) distance on the interlacement set Iᵘ of the random interlacement model on Zᵈ, d≥ 3. We provide large deviation estimates for the internal distance of distant points in this set, and use these estimates to study the internal distance on the range of a simple random walk on a discrete torus.
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