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Cluster volumes for the Gaussian free field on metric graphs
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We study the volume of the critical clusters for the percolation of the level sets of the Gaussian free field on metric graphs. On below the upper-critical dimension…
Critical one-arm probability for the metric Gaussian free field in low dimensions
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We investigate the bond percolation model on transient weighted graphs induced by the excursion sets of the Gaussian free field on the corresponding metric graph. Under the s…
Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We investigate the bond percolation model on transient weighted graphs induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume t…