3 papers
math.PR2026
Near-critical percolation with sparse reinforcements
Estevão Borel, Marcos Sá, Rémy Sanchis +1
We study the effect of sparse random reinforcement on near-critical Bernoulli site percolation on the first quadrant of the square lattice. The reinforcement is generated by random…
math-ph2026
The BEG model at the FAD triple point on the square lattice
Estevão F. Borel, Aldo Procacci, Rémy Sanchis +1
In this note, we prove that the two-dimensional Blume-Emery-Griffiths model at the triple point Ferromagnetic-Antiquadrupolar-Disordered (FAD) has a unique Gibbs measure at any tem…
math-ph2024
Anisotropic Ising model in d+s dimensions
Estevão F. Borel, Aldo Procacci, Rémy Sanchis +1
In this note, we consider the asymmetric nearest neighbor ferromagnetic Ising model on the -dimensional unit cubic lattice , at inverse temperature and with…