2 papers
math.PR2004
Taylor expansions of R-transforms, application to supports and moments
Florent Benaych-Georges
We prove that a probability measure on the real line has a moment of order p (even integer), if and only if its R-transform admits a Taylor expansion with p terms. We also prove a…
math.OA2004
Failure of the Raikov theorem for free random variables
Florent Benaych-Georges
We show that the sum of two free random variables can have a free Poisson law without any of them having a free Poisson law.