Hincin proved that any limit law associated with a triangular array of uniformly infinitesimal random variables is infinitely divisible. Analogous results for the additive and multiplicative free convolution were proved by Bercovici, Belinschi and Pata. We prove an analogous result for the boxed plus(RD) convolution of measures defined on the positive half-line. This is the convolution arising from the addition of *-free R-diagonal elements of a tracial, noncommutative probability space.
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