Pierre-François Rodriguez

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.PR2017

On pinned fields, interlacements, and random walk on $(Z / N Z)^{2}$

Pierre-François Rodriguez

We define two families of Poissonian soups of bidirectional trajectories on $Z^{2}$ , which can be seen to adequately describe the local picture of the trace left by a random…

A characterization of strong percolation via disconnection

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

Finite range interlacements and couplings

On pinned fields, interlacements, and random walk on (Z/NZ)2

On pinned fields, interlacements, and random walk on $(Z / N Z)^{2}$