11 citations · 43 across the 15 of their papers we have counts for
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math.OA2015★ 4 cited
Regularity of distributions of Wigner integrals
Tobias Mai
Wigner integrals and the corresponding Wigner chaos were introduced by P. Biane and R. Speicher in 1998 as a non-commutative counterpart of classical Wiener-Itô integrals and the c…
math.OA2015
Applications of Realizations (aka Linearizations) to Free Probability
J. William Helton, Tobias Mai, Roland Speicher
We show how the combination of new "linearization" ideas in free probability theory with the powerful "realization" machinery -- developed over the last 50 years in fields includin…
math.OA2015★ 4 cited
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension
Tobias Mai, Roland Speicher, Moritz Weber
We show that in a tracial and finitely generated -probability space existence of conjugate variables excludes algebraic relations for the generators. Moreover, under the as…