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Percolation threshold for metric graph loop soup
Yinshan Chang, Hang Du, Xinyi Li · 2023-04-17 · via math.PR updates on arXiv.org

In this short note, we show that the critical threshold for the percolation of metric graph loop soup on a large class of transient metric graphs (including quasi-transitive graphs such as $\mathbb{Z}^d$, $d\geq 3$) is $1/2$.

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