Some Rigorous Results on the Phase Transition of Finitary Random Interlacement
Probability
2021-01-21 v1
Abstract
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 fiber length, and give the exact asymptotic of it as intensity goes to infinity. At the same time, our result for the low intensity regime proves the global existence of a non-trivial phase transition with respect to the system intensity.
Keywords
Cite
@article{arxiv.2101.08010,
title = {Some Rigorous Results on the Phase Transition of Finitary Random Interlacement},
author = {Zhenhao Cai and Yuan Zhang},
journal= {arXiv preprint arXiv:2101.08010},
year = {2021}
}