Author

Pierre-François Rodriguez

2 papers indexed here

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Preprint Oct 2026

Fractal dimension of critical Gaussian free field sign clusters

We study metric graph sign clusters of the Gaussian free field on a large class of transient weighted graphs $G$ that are sufficiently low-dimensional, i.e. below the mean-field regime, and prove a macroscopic equivalence property: several natural ways to define macroscopic clusters - involving any of diameter, volume,...

Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez · 0 citations

Open access Sep 2026

Sharp threshold for the ballisticity of the random walk on the exclusion process

We study a non-reversible random walk advected by the symmetric simple exclusion process, so that the walk has a local drift of opposite sign when sitting atop an occupied or an empty site. We prove that the back-tracking probability of the walk exhibits a sharp transition as the density \rho of particles in th...

Guillaume Conchon-Kerjan, Daniel Kious, Pierre-François Rodriguez · Journal of the European Math... · 0 citations