Random matrix and phase shifts

I just stumbled across this great article on Tracy-Widom distribution. It talks about random matrices and phase shifts.  This reminded me of some work I did on resource allocation in network interconnection. We derived routing matrix conditions for "peering" and "dis-peering" (the latter a new term) to be equilibria in the decentralized resource allocation game. I wonder what a probablisitic approach with the routing matrix randomized would add to the game theoretic results. Large scale self organizing interconnections (or failure thereof).

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