1 citations · 2 across the 6 of their papers we have counts for
7 papers
Anomalous scaling law for the two-dimensional Gaussian free field
Pierre-François Rodriguez, Wen Zhang
We consider level-set percolation for the Gaussian free field on regularised by a mass of order , and investigate the probability that the clust…
On cable-graph percolation between dimensions 2 and 3
Pierre-François Rodriguez, Wen Zhang
We consider the Gaussian free field on two-dimensional slabs with a thickness described by a height at spatial scale . We investigate the radius of critical clusters for the…
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…
Universality classes for percolation models with long-range correlations
Christopher Chalhoub, Alexander Drewitz, Alexis Prévost +1
We consider a class of percolation models where the local occupation variables have long-range correlations decaying as a power law at large distances , for some $…
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…
A Ray-Knight theorem for interface models and scaling limits
Jean-Dominique Deuschel, Pierre-François Rodriguez
We introduce a natural measure on bi-infinite random walk trajectories evolving in a time-dependent environment driven by the Langevin dynamics associated to a gradient Gibbs measu…