80 citations · 336 across the 36 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.
Abstract polymer models with general pair interactions
Aldo Procacci
A convergence criterion of cluster expansion is presented in the case of an abstract polymer system with general pair interactions (i.e. not necessarily hard core or repulsive). As…
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…
Regions without complex zeros for chromatic polynomials on graphs with bounded degree
Roberto Fernandez, Aldo Procacci
We prove that the chromatic polynomial of a finite graph of maximal degree $\D$ is free of zeros for $\card q\ge C^*(\D)$ with $$ C^*(\D) = \min_{0<x…