Pierre‐François Rodriguez

most citedDecoupling inequalities for the Ginzburg-Landau

\nabla φ

models

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2023

A characterization of strong percolation via disconnection

Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2

We consider a percolation model, the vacant set $V^{u}$ of random interlacements on $Z^{d}$ , $d \geq 3$ , in the regime of parameters $u > 0$ in which it is strongly pe…

math.PR2023

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 $(Z / N Z)^{d}$ , for $d \geq 3$ , at times of order $u N^{d}$ , for a parameter $u > 0$ in the…

math.PR2023

Finite range interlacements and couplings

Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2

In this article, we consider the interlacement set $I^{u}$ at level $u > 0$ on $Z^{d}$ , $d \geq 3$ , and its finite range version $I^{u, L}$ for $L > 0$ , given b…

math.PR2016★ 3 cited

Decoupling inequalities for the Ginzburg-Landau $\nabla φ$ models

Pierre-François Rodriguez

We consider a class of of massless gradient Gibbs measures, in dimension greater or equal to three, and prove a decoupling inequality for these fields. As a result, we obtain detai…

A characterization of strong percolation via disconnection

Phase transition for the vacant set of random walk and random interlacements

Finite range interlacements and couplings

Decoupling inequalities for the Ginzburg-Landau ∇φ models

Decoupling inequalities for the Ginzburg-Landau $\nabla φ$ models