Author:
Banica T.,Belinschi S. T.,Capitaine M.,Collins B.
Abstract
Abstract We introduce and study a remarkable family of real probability measures πst that we call free Bessel laws. These are related to the free Poisson law π via the formulae πs1 = π⊠s and π1t=π⊠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.
Publisher
Canadian Mathematical Society
Cited by
64 articles.
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