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3. Normal matrix model

    1. Normal matrix model and d-bar problems


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      Problem 3.1.

      [T. Grava (after K. McLaughlin)] Is it possible to use the theory of $\overline{\partial}$-problems to analyze the normal matrix models?
          Progress on this problem for the case with potential $Q(z)=|z|^2-2c\log|z-a|$, with $a$ and $c$ constant, was reported by Ken McLaughlin, as part of a joint and ongoing work with M. Bertola and S.-Y. Lee.

          Cite this as: AimPL: Vector equilibrium problems and random matrix models, available at http://aimpl.org/vectorequilib.