On the finite size corrections to some random matching problems

Details On the finite size corrections to some random matching problems On the finite size corrections to some random matching problems

2002-04-28

arxiv.org/abs/cond-mat/0204595v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

22 pages, 3 figures

Scientific paper

10.1140/epjb/e2002-00326-3

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]. In the so-called bipartite case, their result is in contradiction with subsequent works. We show that they made some mistakes, and correcting them, we get the expected result. In the non bipartite case, we agree with their result but push the analytical treatment further

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