Alexis Pr'evost

collaborators

4 papers

math.PR2025

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

Alexander Drewitz, Alexis PrÃ©vost, Pierre-FranÃ§ois 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.PR2024

Cluster volumes for the Gaussian free field on metric graphs

Alexander Drewitz, Alexis PrÃ©vost, Pierre-FranÃ§ois 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 $Z^{d}$ below the upper-critical dimension…

math.PR2024

Critical one-arm probability for the metric Gaussian free field in low dimensions

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. Under the s…

cond-mat.stat-mech2024

Universality classes for percolation models with long-range correlations

We consider a class of percolation models where the local occupation variables have long-range correlations decaying as a power law $\sim r^{- a}$ at large distances $r$ , for some $…