On (Non-)Monotonicity and Phase Diagram of Finitary Random Interlacement
On (Non-)Monotonicity and Phase Diagram of Finitary Random Interlacement
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 …