**The Hermitian Two Matrix Model with an Even Quartic Potential**

by M. Duits, A.B.J. Kuijlaars, M. Yue Mo

**Publisher**: American Mathematical Society 2012**ISBN/ASIN**: 0821869280**ISBN-13**: 9780821869284**Number of pages**: 118

**Description**:

The authors consider the two matrix model with an even quartic potential and an even polynomial potential. The main result of the paper is the formulation of a vector equilibrium problem for the limiting mean density for the eigenvalues of one of the matrices. The vector equilibrium problem is defined for three measures, with external fields on the first and third measures and an upper constraint on the second measure.

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