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In Entropy (Basel, Switzerland)

In this paper, we study the evolution of a Finitary Random Interlacement (FRI) with respect to the expected length of each fiber. In contrast to the previously proved phase transition between sufficiently large and small fiber length, for all d≥3, FRI is NOT stochastically monotone as fiber length increases. At the same time, numerical evidence still strongly supports the existence and uniqueness of a critical fiber length, which is estimated theoretically and numerically to be an inversely proportional function with respect to system intensity.

Cai Zhenhao, Xiong Yunfeng, Zhang Yuan

2021-Jan-04

critical value, finitary random interlacement, percolation phase transition