Exact solution of the random bipartite matching model

Details Exact solution of the random bipartite matching model Exact solution of the random bipartite matching model

1999-11-30

arxiv.org/abs/cond-mat/9911477v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages, Latex

Scientific paper

10.1088/0305-4470/33/10/305

In this paper we present the exact solution for the average minimum energy of the random bipartite matching model with an arbitrary finite number of elements where random paired interactions are described by independent exponential distribution. This solution confirms the Parisi conjecture proposed for this model earlier, as well as the result of the replica solution of this model in the thermodynamic limit.

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