2. Random matrix models with external source

Random matrices with external source. More general cases
Problem 2.1.
[Pavel Bleher] Study the random matrix model with probability measure $$ \frac{1}{Z_N}e^{N\textrm{tr}(V(M)AM)}, $$ where $A$ is an $N\times N$ diagonal matrix with eigenvalues $\pm a$ (each with equal multiplicity $N/2$, assuming $N$ is even), and $V(M)$ is a general polynomial. 
$2+1/2$ random matrix models
Problem 2.2.
[A. MartínezFinkelshtein] A general question about RiemannHilbert techniques to study the twomatrix plus external source model.
Cite this as: AimPL: Vector equilibrium problems and random matrix models, available at http://aimpl.org/vectorequilib.