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math.OA2021★ 1 cited
Universality of free random variables: atoms for non-commutative rational functions
Octavio Arizmendi, Guillaume Cébron, Roland Speicher +1
Consider a tuple of normal operators in a tracial operator algebra setting with prescribed sizes of the eigenspaces for each . We address the question what o…
math.OA2021★ 5 cited
Convergence for noncommutative rational functions evaluated in random matrices
Benoît Collins, Tobias Mai, Akihiro Miyagawa +2
One of the main applications of free probability is to show that for appropriately chosen independent copies of random matrix models, any noncommutative polynomial in these …