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.
Funding Statement
Research partly supported by National Key R&D Program of China, Project Number 2020YFA0712902.
Acknowledgments
The authors would like to thank an anonymous referee for helpful comments.
Citation
Zhenhao Cai. Eviatar B. Procaccia. Yuan Zhang. "Continuity and uniqueness of percolation critical parameters in finitary random interlacements." Electron. J. Probab. 27 1 - 46, 2022. https://doi.org/10.1214/22-EJP824
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