32 citations · 112 across the 9 of their papers we have counts for
4 papers · 1 filter
First passage percolation with long-range correlations and applications to random Schrödinger operators
Sebastian Andres, Alexis Prévost
We consider first passage percolation (FPP) with passage times generated by a general class of models with long-range correlations on , , including discrete…
Percolation for the Gaussian free field on the cable system: counterexamples
Alexis Prévost
For massless vertex-transitive transient graphs, the percolation phase transition for the level sets of the Gaussian free field on the associated continuous cable system is particu…
Critical exponents for a percolation model on transient graphs
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the corresponding cable system. Owing to the cont…
Cluster capacity functionals and isomorphism theorems for Gaussian free fields
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We investigate level sets of the Gaussian free field on continuous transient metric graphs and study the capacity of its level set clusters. We prove, without…