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 2022 · math.PRShow all

3 papers · 2 filters

math.PR2022★ 1 cited

Random tangled currents for $φ^{4}$ : translation invariant Gibbs measures and continuity of the phase transition

Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis +1

We prove that the set of automorphism invariant Gibbs measures for the $φ^{4}$ model on graphs of polynomial growth has at most two extremal measures at all values of $β$ . We also gi…

math.PR2022

Uniqueness of unbounded component for level sets of smooth Gaussian fields

Franco Severo

For a large family of stationary continuous Gaussian fields $f$ on $R^{d}$ , including the Bargmann-Fock and Cauchy fields, we prove that there exists at most one unbounded c…

math.PR2022★ 6 cited

Percolation of strongly correlated Gaussian fields I. Decay of subcritical connection probabilities

Stephen Muirhead, Franco Severo

We study the decay of connectivity of the subcritical excursion sets of a class of strongly correlated Gaussian fields. Our main result shows that, for smooth isotropic Gaussian fi…

Random tangled currents for φ4: translation invariant Gibbs measures and continuity of the phase transition

Uniqueness of unbounded component for level sets of smooth Gaussian fields

Percolation of strongly correlated Gaussian fields I. Decay of subcritical connection probabilities

Random tangled currents for $φ^{4}$ : translation invariant Gibbs measures and continuity of the phase transition