The support of the free additive convolution of multi-cut measures

Philippe Moreillon, Kevin Schnelli

We consider the free additive convolution ${\mu }_{\alpha }⊞{\mu }_{\beta }$ of two probability measures ${\mu }_{\alpha }$ and ${\mu }_{\beta }$, supported on respectively $n_{\alpha }$ and $n_{\beta }$ disjoint bounded intervals on the…