Geodesic
Hinčin's Theorem for Multiplicative Free Convolution
Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 26-31

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DOI

Hinčin proved that any limit law, associated with a triangular array of infinitesimal random variables, is infinitely divisible. The analogous result for additive free convolution was proved earlier by Bercovici and Pata. In this paper we will prove corresponding results for the multiplicative free convolution of measures defined on the unit circle and on the positive half-line.
DOI : 10.4153/CMB-2008-004-3
Mots-clés : 46L53, 60E07, 60E10 
Belinschi, S. T.; Bercovici, H. Hinčin's Theorem for Multiplicative Free Convolution. Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 26-31. doi: 10.4153/CMB-2008-004-3
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     author = {Belinschi, S. T. and Bercovici, H.},
     title = {Hin\v{c}in's {Theorem} for {Multiplicative} {Free} {Convolution}},
     journal = {Canadian mathematical bulletin},
     pages = {26--31},
     year = {2008},
     volume = {51},
     number = {1},
     doi = {10.4153/CMB-2008-004-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-004-3/}
}
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