Asymptotically Liberating Sequences of Random Unitary Matrices

@inproceedings{Anderson2013AsymptoticallyLS,
  title={Asymptotically Liberating Sequences of Random Unitary Matrices},
  author={Greg W. Anderson and Brendan Farrell},
  year={2013}
}
A fundamental result of free probability theory due to Voiculescu and subsequently refined by many authors states that conjugation by independent Haar-distributed random unitary matrices delivers asymptotic freeness. In this paper we exhibit many other systems of random unitary matrices that, when used for conjugation, lead to freeness. We do so by first proving a general result asserting “asymptotic liberation” under quite mild conditions, and then we explain how to specialize these general… CONTINUE READING

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