71 citations · 258 across the 47 of their papers we have counts for
4 papers · 1 filter
Rectangular random matrices, related free entropy and free Fisher's information
Florent Benaych-Georges
We prove that independent rectangular random matrices, when embedded in a space of larger square matrices, are asymptotically free with amalgamation over a commutative finite dimen…
Infinitely divisible distributions for rectangular free convolution: classification and matricial interpretation
Florent Benaych-Georges
In a previous paper (called "Rectangular random matrices. Related covolution"), we defined, for , the rectangular free convolution with ratio . Here, we investigate…
Rectangular random matrices. Related convolution
Florent Benaych-Georges
We characterize asymptotic collective behaviour of rectangular random matrices, the sizes of which tend to infinity at different rates: when embedded in a space of larger square ma…
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.