9 citations · 56 across the 27 of their papers we have counts for
31 papers
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…
Clustering and Cliques in P.A random graphs with edge insertion
Caio Alves, Rodrigo Ribeiro, Rémy Sanchis
In this paper, we investigate the global clustering coefficient (a.k.a transitivity) and clique number of graphs generated by a preferential attachment random graph model with an a…
Upper bounds for critical probabilities in Bernoulli Percolation models
Pablo A. Gomes, Alan Pereira, Remy Sanchis
We consider bond and site Bernoulli Percolation in both the oriented and the non-oriented cases on and obtain rigorous upper bounds for the critical points in those…
Anisotropic non-oriented bond percolation in high dimensions
Pablo A. Gomes, Alan Pereira, Remy Sanchis
We consider inhomogeneous non-oriented Bernoulli bond percolation on , where each edge has a parameter depending on its direction. We prove that, under certain condit…
Constrained-degree percolation in random environment
Rémy Sanchis, Diogo C. dos Santos, Roger W. C. Silva
We consider the Constrained-degree percolation model in random environment on the square lattice. In this model, each vertex has an independent random constraint which ta…