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5. Other

    1. Problem 5.1.

      [Alexander Its] In a general sense, is it possible to find some explicit connection between the notions of string equations, spectral curve, Lax pair, WKB approximation, etc, and the vector equilibrium problems that appear in the two-matrix or external source models? For example, would it be possible to use string equations and asymptotic information together with the spectral curve, to find heuristically the equilibrium measure?
        • Problem 5.2.

          [John Harnad] Is it possible to relate multiple orthogonal polynomials to standard orthogonal polynomials, via the so-called “convolution product"?

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