Franco Severo

activity

20182026

most citedEquality of critical parameters for percolation of Gaussian free field level-sets

54 citations · 125 across the 18 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

math.PR2023

Slab percolation for the Ising model revisited

Franco Severo

In this note, we give a new and short proof for a theorem of Bodineau stating that the slab percolation threshold $p^_{c}$ for the FK-Ising model coincides with the standard per…

math.PR2023

Supercritical sharpness for Voronoi percolation

Barbara Dembin, Franco Severo

We prove that the supercritical phase of Voronoi percolation on $R^{d}$ , $d \geq 3$ , is well behaved in the sense that for every $p > p_{c} (d)$ local uniqueness of macroscopic cl…

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…