Percolation for the Gaussian free field on the cable system

With Alexis Prévost

Percolation for the Gaussian free field on the cable system

Among percolation models with long-range correlations, the Gaussian free
field on discrete graphs has received a lot of attention over the last
few years, but not so much on its continuous equivalent, the cable
system. I will present a brief history of the question, and explain why,
for this model, the critical parameter is surprisingly equal to 0, and
is thus explicitly known, on a large class of graphs

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