Hin\v cin's Theorem for Multiplicative Free Convolution
Printed: Mar 2008
S. T. Belinschi
Hin\v cin 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
46L53 - Noncommutative probability and statistics
60E07 - Infinitely divisible distributions; stable distributions
60E10 - Characteristic functions; other transforms