Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements

2021/09/24 by Zhenhao Cai, Cai, Zhenhao, Eviatar B. Procaccia +3 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR

paper · pdf · doi:10.48550/arxiv.2109.11756

49 pages, 5 figures

arxiv created 2021/09/24 · openalex publication_date 2021/09/24 · arxiv updated 2021/09/27 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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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