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Free Bessel laws by Banica, Teodor; Belinschi, Serban; Capitaine, Mireille; Collins, Benoit is a scholarly article available to read on EtoBox.

What is Free Bessel laws about?

We introduce and study a remarkable family of real probability measures $\pi_{st}$, that we call free Bessel laws. These are related to the free Poisson law $\pi$ via the formulae $\pi_{s1}=\pi^{\boxtimes s}$ and $\pi_{1t}=\pi^{\boxplus t}$. Our study includes: definition and basic properties, analytic aspects (supports, atoms, densities), combinatorial aspects (functional transforms, moments, partitions), and a discussion of the relation with random matrices and quantum groups.

Author

Banica, Teodor; Belinschi, Serban; Capitaine, Mireille; Collins, Benoit

Published

2007

Language

EN