9 citations · 56 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
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…
Percolation on infinite graphs and isoperimetric inequalities
Rogério G. Alves, Aldo Procacci, Remy Sanchis
We consider the Bernoulli bond percolation process (with parameter ) on infinite graphs and we give a general criterion for bounded degree graphs to exhibit a non-trivial percol…
Diffusive-Ballistic Transition in Random Walks with Long-Range Self-Repulsion
Aldo Procacci, Remy Sanchis, Benedetto Scoppola
We prove that a class of random walks on with long-range self-repulsive interactions have a diffusive-ballistic phase transition.
Decay Properties of the Connectivity for Mixed Long Range Percolation Models on
Gastao A. Braga, Leandro M. Cioletti, Remy Sanchis
In this short note we consider mixed short-long range independent bond percolation models on . Let be the probability that the edge will be open. Allowin…