Replica symmetry of the minimum matching
Artikel i vetenskaplig tidskrift, 2012
We establish the soundness of the replica symmetric ansatz introduced by M. Mezard and G. Parisi for the minimum matching problem in the pseudo-dimension d mean field model for d >= 1. The case d = 1 corresponds to the pi(2)/6-limit for the assignment problem proved by D. Aldous in 2001. We introduce a game-theoretical framework by which we establish the analogous limit also for d > 1.
random assignment problem