Pierre-François Rodriguez

activity

20162023

most citedDecoupling inequalities for the Ginzburg-Landau

\nabla φ

models

3 citations · 3 across the 2 of their papers we have counts for

collaborators

7 papers

math.PR2023

Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions

Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez

We investigate the bond percolation model on transient weighted graphs $G$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume t…

math.PR2022

The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature

Roland Bauerschmidt, Jiwoon Park, Pierre-François Rodriguez

The Discrete Gaussian model is the lattice Gaussian free field conditioned to be integer-valued. In two dimensions, at sufficiently high temperature, we show that the scaling limit…

math.PR2021

Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension $d \geq 3$

Hugo Duminil-Copin, Alejandro Rivera, Pierre-François Rodriguez +1

For the Bargmann--Fock field on $R^{d}$ with $d \geq 3$ , we prove that the critical level $ℓ_{c} (d)$ of the percolation model formed by the excursion sets ${f \geq ℓ}$ is…

math.PR2021

On the radius of Gaussian free field excursion clusters

Subhajit Goswami, Pierre-François Rodriguez, Franco Severo

We consider the Gaussian free field $φ$ on $Z^{d}$ , for $d \geq 3$ , and give sharp bounds on the probability that the radius of a finite cluster in the excursion set $\{φ\geq…

math.PR2020

Equality of critical parameters for percolation of Gaussian free field level-sets

Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +1

We consider upper level-sets of the Gaussian free field on $Z^{d}$ , for $d \geq 3$ , above a given real-valued height parameter $h$ . As $h$ varies, this defines a canonical per…

math.PR2018

Geometry of Gaussian free field sign clusters and random interlacements