5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.OA2022
A dual and conjugate system for -Gaussians for all
Akihiro Miyagawa, Roland Speicher
We provide a concrete formula for a dual system as well as for a conjugate system of -Gaussians represented on the -deformed Fock space. Moreover, using this formula, we prov…
math.OA2021★ 1 cited
A characterization of rationality for operators in free semicircular elements
Akihiro Miyagawa
Realizing free semicircular elements on the full Fock space, we prove an equivalence between rationality of operators obtained from them and finiteness of the rank of their commuta…
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 …