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math.PR2021★ 1 cited
The chemical distance in random interlacements in the low-intensity regime
Sarai Hernandez-Torres, Eviatar B. Procaccia, Ron Rosenthal
In with , we consider the time constant associated to the chemical distance in random interlacements at low intensity . We prove an upper boun…
math.PR2021
Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements
Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang
We prove that the critical percolation parameter for Finitary Random Interlacements (FRI) is continuous with respect to the path length parameter . The proof uses a result which…