Geodesic
Free Bessel Laws
Canadian journal of mathematics, Tome 63 (2011) no. 1, pp. 3-37

Voir la notice de l'article provenant de la source Cambridge

DOI

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 ${{\text{ }\!\!\pi\!\!\text{ }}_{s1}}={{\text{ }\!\!\pi\!\!\text{ }}^{\boxtimes s}}$ and $\text{ }\pi {{\text{ }}_{1t}}=\text{ }\pi {{\text{ }}^{\boxtimes }}^{t}$ . 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.
DOI : 10.4153/CJM-2010-060-6
Mots-clés : 46L54, 15A52, 16W30, Poisson law, Bessel function, Wishart matrix, quantum group 
Banica, T.; Belinschi, S. T.; Capitaine, M.; Collins, B. Free Bessel Laws. Canadian journal of mathematics, Tome 63 (2011) no. 1, pp. 3-37. doi: 10.4153/CJM-2010-060-6
@article{10_4153_CJM_2010_060_6,
     author = {Banica, T. and Belinschi, S. T. and Capitaine, M. and Collins, B.},
     title = {Free {Bessel} {Laws}},
     journal = {Canadian journal of mathematics},
     pages = {3--37},
     year = {2011},
     volume = {63},
     number = {1},
     doi = {10.4153/CJM-2010-060-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-060-6/}
}
TY  - JOUR
AU  - Banica, T.
AU  - Belinschi, S. T.
AU  - Capitaine, M.
AU  - Collins, B.
TI  - Free Bessel Laws
JO  - Canadian journal of mathematics
PY  - 2011
SP  - 3
EP  - 37
VL  - 63
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-060-6/
DO  - 10.4153/CJM-2010-060-6
ID  - 10_4153_CJM_2010_060_6
ER  - 
%0 Journal Article
%A Banica, T.
%A Belinschi, S. T.
%A Capitaine, M.
%A Collins, B.
%T Free Bessel Laws
%J Canadian journal of mathematics
%D 2011
%P 3-37
%V 63
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-060-6/
%R 10.4153/CJM-2010-060-6
%F 10_4153_CJM_2010_060_6

Cité par Sources :