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5. Functional Analysis, Operator Theory and Operator Algebras, Mathematical Physics

The support of free convolutions

Hari Bercovici
Indiana University, Bloomington IN, USA

Abstract:

The connectedness of the support of free convolutions (additive and multiplicative) has been studied for special (Jacobi) distributions by several authors (Bao, Erdos, Schnelli, Moreillon, Ji). We show that many of these results remain true for arbitrary distributions. The proofs use recent insights about analytic subordination. This is joint work with C. K. Ho and S. Belinschi.