91 citations · 213 across the 10 of their papers we have counts for
13 papers
A characterization of strong percolation via disconnection
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
We consider a percolation model, the vacant set of random interlacements on , , in the regime of parameters in which it is strongly pe…
Phase transition for the vacant set of random walk and random interlacements
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
We consider the set of points visited by the random walk on the discrete torus , for , at times of order , for a parameter in the…
Finite range interlacements and couplings
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
In this article, we consider the interlacement set at level on , , and its finite range version for , given b…
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…
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…
On pinned fields, interlacements, and random walk on
Pierre-François Rodriguez
We define two families of Poissonian soups of bidirectional trajectories on , which can be seen to adequately describe the local picture of the trace left by a random…
Limit theory for random walks in degenerate time-dependent random environments
Marek Biskup, Pierre-François Rodriguez
We study continuous-time (variable speed) random walks in random environments on , , where, at time , the walk at jumps across edge at time-depe…
On cluster properties of classical ferromagnets in an external magnetic field
Jürg Fröhlich, Pierre-François Rodriguez
Correlation functions of ferromagnetic spin systems satisfying a Lee-Yang property are studied. It is shown that, for classical systems in a non-vanishing uniform external magnetic…
A 0-1 law for the massive Gaussian free field
Pierre-François Rodriguez
We investigate the phase transition in a non-planar correlated percolation model with long-range dependence, obtained by considering level sets of a Gaussian free field with mass a…
High-dimensional asymptotics for percolation of Gaussian free field level sets
Alexander Drewitz, Pierre-François Rodriguez
We consider the Gaussian free field on , greater or equal to , and prove that the critical density for percolation of its level sets behaves like $1/d^{1 + o(1…
Level set percolation for random interlacements and the Gaussian free field
Pierre-François Rodriguez
We consider continuous-time random interlacements on Z^d, d greater or equal to 3, and investigate the percolation model where a site x of Z^d is occupied if the total amount of ti…
Phase transition and level-set percolation for the Gaussian free field
Pierre-François Rodriguez, Alain-Sol Sznitman
We consider level-set percolation for the Gaussian free field on Z^d, with d bigger or equal to 3, and prove that there is a non-trivial critical level h_* such that for h > h_*, t…