32 citations · 112 across the 9 of their papers we have counts for
11 papers
Fractal dimension of critical Gaussian free field sign clusters
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We study metric graph sign clusters of the Gaussian free field on a large class of transient weighted graphs that are sufficiently low-dimensional, i.e. below the mean-field re…
Phase transition for the late points of random walk
Alexis Prévost, Pierre-François Rodriguez, Perla Sousi
Let be a random walk on the torus of side length in dimension with uniform starting point, and be the expected value of its cover time, which is…
First passage percolation, local uniqueness for interlacements and capacity of random walk
Alexis Prévost
The study of first passage percolation (FPP) for the random interlacements model has been initiated in arXiv:2112.12096, where it is shown that on , , the FP…
Generating Galton-Watson trees using random walks and percolation for the Gaussian free field
Alexander Drewitz, Gioele Gallo, Alexis Prévost
The study of Gaussian free field level sets on supercritical Galton-Watson trees has been initiated by Abächerli and Sznitman in Ann. Inst. Henri Poincaré Probab. Stat., 54(1):173-…
Percolation for two-dimensional excursion clouds and the discrete Gaussian free field
Alexander Drewitz, Olof Elias, Alexis Prévost +2
We study percolative properties of excursion processes and the discrete Gaussian free field (dGFF) in the planar unit disk. We consider discrete excursion clouds, defined using ran…
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…
Geometry of Gaussian free field sign clusters and random interlacements
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
For a large class of amenable transient weighted graphs , we prove that the sign clusters of the Gaussian free field on fall into a regime of strong supercriticality, in whi…
The sign clusters of the massless Gaussian free field percolate on , (and more)
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We investigate the percolation phase transition for level sets of the Gaussian free field on , with , and prove that the corresponding critical paramete…