Percolation threshold for metric graph loop soup
classification
🧮 math.PR
keywords
metricgraphgraphslooppercolationsoupthresholdclass
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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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