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Article Dans Une Revue Canadian Journal of Mathematics Année : 2011

Free Bessel Laws

Serban Belinschi
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Collins Benoit
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Résumé

We introduce and study a remarkable family of real probability measures that we call free Bessel laws. These are related to the free Poisson law. 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.

Dates et versions

hal-00943214 , version 1 (07-02-2014)

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Banica Teodor, Serban Belinschi, Mireille Capitaine, Collins Benoit. Free Bessel Laws. Canadian Journal of Mathematics, 2011, 63, pp.3-37. ⟨10.4153/CJM-2010-060-6⟩. ⟨hal-00943214⟩
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