Franco Severo

collaborators

3 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…