Oct 3 - 6, 2011
Institut Henri Poincaré, Paris
Arno Kuijlaars, Katholieke Universiteit Leuven, Belgium:
Asymptotic analysis of the two matrix model with a quartic potential
I will discuss a Riemann-Hilbert approach to the asymptotic analysis of the two matrix model with one even quartic potential and one general even polynomial potential. The limiting distribution for the eigenvalues of one of the matrices is determined by the minimizer of a vector equilibrium for three measures with two external fields and one upper constraint. The minimizer determines a four sheeted Riemann surface which is crucial for the steepest descent analysis of the Riemann-Hilbert problem which is of size 4x4. This is joint work with Maurice Duits (KTH Stockholm) and Man Yue Mo (Bristol)
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