25 citations · 78 across the 5 of their papers we have counts for
4 papers
Near optimal configurations in mean field disordered systems
A. Pagnani, G. Parisi, M. Ratieville
We present a general technique to compute how the energy of a configuration varies as a function of its overlap with the ground state in the case of optimization problems. Our appr…
Metastable configurations on the Bethe lattice
A. Pagnani, G. Parisi, M. Ratieville
We present a general analytic method to compute the number of metastable configurations as a function of the energy for a system of interacting Ising spins on the Bethe lattice. Ou…
On the finite size corrections to some random matching problems
G. Parisi, M. Ratieville
We get back to the computation of the leading finite size corrections to some random link matching problems, first adressed by Mezard and Parisi [J. Physique 48 (1987) 1451-1459].…
Neighborhood preferences in random matching problems
G. Parisi, M. Ratieville
We consider a class of random matching problems where the distance between two points has a probability law which, for a small distance l, goes like l^r. In the framework of the ca…