Fluctuations in the random-link matching problem
Disordered Systems and Neural Networks
2019-09-06 v2 Mathematical Physics
math.MP
Abstract
Using the replica approach and the cavity method, we study the fluctuations of the optimal cost in the random-link matching problem. By means of replica arguments, we derive the exact expression of its variance. Moreover, we study the large deviation function, deriving its expression in two different ways, namely using both the replica method and the cavity method.
Keywords
Cite
@article{arxiv.1905.08529,
title = {Fluctuations in the random-link matching problem},
author = {Enrico M. Malatesta and Giorgio Parisi and Gabriele Sicuro},
journal= {arXiv preprint arXiv:1905.08529},
year = {2019}
}
Comments
9 pages, 3 figures