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

collaborators

Showing 2021 · math.PRShow all

4 papers · 2 filters

math.PR2021

Gap at 1 for the percolation threshold of Cayley graphs

Christoforos Panagiotis, Franco Severo

We prove that the set of possible values for the percolation threshold $p_{c}$ of Cayley graphs has a gap at 1 in the sense that there exists $ε_{0} > 0$ such that for every Ca…

math.PR2021★ 7 cited

Analyticity of Gaussian free field percolation observables

Christoforos Panagiotis, Franco Severo

We prove that cluster observables of level-sets of the Gaussian free field on the hypercubic lattice $Z^{d}$ , $d \geq 3$ , are analytic on the whole off-critical regime $\mathb…

math.PR2021

Sharp phase transition for Gaussian percolation in all dimensions

Franco Severo

We consider the level-sets of continuous Gaussian fields on $R^{d}$ above a certain level $- ℓ \in R$ , which defines a percolation model as $ℓ$ varies. We assum…

math.PR2021★ 27 cited

On the radius of Gaussian free field excursion clusters

Subhajit Goswami, Pierre-François Rodriguez, Franco Severo

We consider the Gaussian free field $φ$ on $Z^{d}$ , for $d \geq 3$ , and give sharp bounds on the probability that the radius of a finite cluster in the excursion set $\{φ\geq…