5 citations · 13 across the 5 of their papers we have counts for
10 papers
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…