74 citations · 429 across the 31 of their papers we have counts for
3 papers · 1 filter
Mean-field model for the density of states of jammed soft spheres
Fernanda P. C. Benetti, Giorgio Parisi, Francesca Pietracaprina +1
We propose a class of mean-field models for the isostatic transition of systems of soft spheres, in which the contact network is modeled as a random graph and each contact is assoc…
Anomalous scaling of the optimal cost in the one-dimensional random assignment problem
Sergio Caracciolo, Matteo D'Achille, Gabriele Sicuro
We consider the random Euclidean assignment problem on the line between two sets of random points, independently generated with the same probability density function .…
The Random Fractional Matching Problem
Carlo Lucibello, Enrico M. Malatesta, Giorgio Parisi +1
We consider two formulations of the random-link fractional matching problem, a relaxed version of the more standard random-link (integer) matching problem. In one formulation, we a…