Zhenhao Cai

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20212024

most citedOne-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

1 citations · 1 across the 3 of their papers we have counts for

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math.PR2024★ 1 cited

One-arm Probabilities for Metric Graph Gaussian Free Fields below and at the Critical Dimension

Zhenhao Cai, Jian Ding

For the critical level-set of the Gaussian free field on the metric graph of $Z^{d}$ , we consider the one-arm probability $θ_{d} (N)$ , i.e., the probability that the boundary of…

math.PR2023

Vertex-removal stability and the least positive value of harmonic measures

Zhenhao Cai, Gady Kozma, Eviatar B. Procaccia +1

We prove that for $Z^{d}$ ( $d \geq 2$ ), the vertex-removal stability of harmonic measures (i.e. it is feasible to remove some vertex while changing the harmonic measure by a b…

math.PR2021

On the exact orders of critical value in Finitary Random Interlacements

Zhenhao Cai, Yuan Zhang

In this paper, we prove the exact orders of critical intensity $u_{*} (T)$ in Finitary Random Interlacements (FRI) in $Z^{d}, d \geq 3$ with respect to the expected fiber lengt…