11 citations · 23 across the 5 of their papers we have counts for
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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…
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 …
The free field: realization via unbounded operators and Atiyah property
Tobias Mai, Roland Speicher, Sheng Yin
Let be operators in a finite von Neumann algebra and consider their division closure in the affiliated unbounded operators. We address the question when this divisi…
The free field: zero divisors, Atiyah property and realizations via unbounded operators
Tobias Mai, Roland Speicher, Sheng Yin
We consider noncommutative rational functions as well as matrices in polynomials in noncommuting variables in two settings: in an algebraic context the variables are formal variabl…
Non-commutative rational function in strongly convergent random variables
Sheng Yin
Random matrices like GUE, GOE and GSE have been studied for decades and have been shown that they possess a lot of nice properties. In 2005, a new property of independent GUE rando…