29 citations · 70 across the 5 of their papers we have counts for
4 papers · 1 filter
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.
The Global Renormalization Group Trajectory in a Critical Supersymmetric Field Theory on the Lattice Z^3
P. K. Mitter, B. Scoppola
We consider an Euclidean supersymmetric field theory in given by a supersymmetric perturbation of an underlying massless Gaussian measure on scalar bosonic and Grassman…
The analyticity region of the hard sphere gas. Improved bounds
Roberto Fernandez, Aldo Procacci, Benedetto Scoppola
We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in dimensions. The estimates are determined by the volume of multidimensional r…
Convergent expansions for Random Cluster Model with q>0 on infinite graphs
Aldo Procacci, Benedetto Scoppola
In this paper we extend our previous results on the connectivity functions and pressure of the Random Cluster Model in the highly subcritical phase and in the highly supercritical…