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
Number of pages: 118
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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by Zico Kolter - Stanford University
From the tabble of contents: Basic Concepts and Notation; Matrix Multiplication; Operations and Properties; Matrix Calculus (Gradients and Hessians of Quadratic and Linear Functions, Least Squares, Eigenvalues as Optimization, etc.).
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