Iteration of the Schwarz function and the topology of quadrature domains

Lundi 21 mai 2012 14:00-15:00 - Nikolai Makarov - Caltech

Résumé : This is a joint work with Seung-Yeup Lee (Caltech). Using methods of conformal dynamics, we establish sharp bounds on the number of (local) droplets, and describe all possible configurations of ovals of the spectral curve in the case where the external potential $Q$ in the random normal matrix model has the form $Q(z)=|z|^2+H(z)$ and $\partial H$ is a rational function.

Lieu : bât. 425 - 113-115

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