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math.PR2021
On the exact orders of critical value in Finitary Random Interlacements
Zhenhao Cai, Yuan Zhang
In this paper, we prove the exact orders of critical intensity in Finitary Random Interlacements (FRI) in with respect to the expected fiber lengt…
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…
math.PR2021★ 1 cited
Some Rigorous Results on the Phase Transition of Finitary Random Interlacement
Zhenhao Cai, Yuan Zhang
In this paper, we show several rigorous results on the phase transition of Finitary Random Interlacement (FRI). For the high intensity regime, we show the existence of a critical f…