Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2021
- DOI:
- 10.48550/arXiv.2109.11756
- arXiv:
- arXiv:2109.11756
- Bibcode:
- 2021arXiv210911756C
- Keywords:
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- Mathematics - Probability
- E-Print:
- 49 pages, 5 figures