Franco Severo

activity

20242026

collaborators

6 papers

math.PR2026

Percolation on the stationary distributions of the voter model with stirring

Jhon Astoquillca, Franco Severo, RÃ©ka SzabÃ³ +1

The voter model with stirring is a variant of the classical voter model on $Z^{d}$ with two possible opinions (0 and 1) that, in addition to copying neighbouring opinions at…

math.PR2025

High-intensity Voronoi percolation on manifolds

Tillmann BÃ¼hler, Barbara Dembin, Ritvik Ramanan Radhakrishnan +1

We study Voronoi percolation on a large class of $d$ -dimensional Riemannian manifolds, which includes the hyperbolic spaces $H^{d}$ , $d \geq 2$ . We prove that as the intensit…

math.PR2025

Counting minimal cutsets and $p_{c} < 1$

Philip Easo, Franco Severo, Vincent Tassion

We prove two results concerning percolation on general graphs. - We establish the converse of the classical Peierls argument: if the critical parameter for (uniform) percolation sa…

math.PR2025

The supercritical phase of the $I ¨ ^{4}$ model is well behaved

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

In this article, we analyse the $I ¨ ^{4}$ model on $Z^{d}$ in the supercritical regime $I^^{2} > I^_{c}^{2}$ . We consider a random cluster representation of the $I ¨ ^{4}$ model, which corresp…

math.PR2025

Random tangled currents for $I ¨ ^{4}$ : 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 $I ¨ ^{4}$ model on graphs of polynomial growth has at most two extremal measures at all values of $I^^{2}$ . We also…

math.PR2024

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…

Percolation on the stationary distributions of the voter model with stirring

High-intensity Voronoi percolation on manifolds

Counting minimal cutsets and pc​<1

The supercritical phase of the I¨4 model is well behaved

Random tangled currents for I¨4: translation invariant Gibbs measures and continuity of the phase transition

Supercritical sharpness for Voronoi percolation

Counting minimal cutsets and $p_{c} < 1$

The supercritical phase of the $I ¨ ^{4}$ model is well behaved

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