Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements

Zhenhao Cai; Eviatar B. Procaccia; Yuan Zhang

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arXiv · 2109.11756

Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements

Zhenhao Cai·Eviatar B. Procaccia·Yuan Zhang

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Abstract

We prove that the critical percolation parameter for Finitary Random Interlacements (FRI) is continuous with respect to the path length parameter $T$. The proof uses a result which is interesting on its own right; equality of natural critical parameters for FRI percolation phase transition.

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Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang. 2021-09-24. Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements. https://arxiv.org/abs/2109.11756

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