activity
20042025
most citedLectures on the local semicircle law for Wigner matrices

71 citations · 258 across the 47 of their papers we have counts for

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3 papers · 1 filter

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.

math.PR2004★ 19 cited

Classical and free infinitely divisible distributions and random matrices

Florent Benaych-Georges

We construct a random matrix model for the bijection Ψbetween clas- sical and free infinitely divisible distributions: for every d\geq1, we associate in a quite natural way to each…