Asymptotics of Matrix Models at low temperature

Appears in collection : Inhomogeneous Random Systems

In the nineties, Voiculescu showed that the non-commutative distribution of independent GUE matrices converges towards free semi-circular variables. In this talk, we will discuss the convergence of more general matrix models as well as the properties of the limit when it exists, in particular in the so-called low temperature region. This talk is based on a recent work with Edouard Morel-Segala.