5 citations · 11 across the 5 of their papers we have counts for
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Minimal harmonic measure on 2D lattices
Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang
We study the harmonic measure (i.e. the limit of the hitting distribution of a simple random walk starting from a distant point) on three canonical two-dimensional lattices: the sq…
Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements
Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang
We prove that the critical percolation parameter for Finitary Random Interlacements (FRI) is continuous with respect to the path length parameter . The proof uses a result which…
Some Rigorous Results on the Phase Transition of Finitary Random Interlacement
Zhenhao Cai, Yuan Zhang
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 f…
On (non-)monotonicity and phase diagram of finitary random interlacement
Zhenhao Cai, Yunfeng Xiong, Yuan Zhang
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 transit…
On Chemical Distance and Local Uniqueness of a Sufficiently Supercritical Finitary Random Interlacement
Zhenhao Cai, Xiao Han, Jiayan Ye +1
In this paper, we study geometric properties of the unique infinite cluster in a sufficiently supercritical Finitary Random Interlacements in $\mathbb{Z}^d…