Hincin's Theorem for Multiplicative Free Convolution

• Autores: Serban T. Belinschi, H. Bercovici
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 51, Nº 1, 2008, págs. 26-31
• Idioma: inglés
• DOI: 10.4153/cmb-2008-004-3
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• Resumen

  • Hincin 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 definded on the unit circle and on the positive half-line.