2 papers
math.OA2024
Free probability of type B prime
Katsunori Fujie, Takahiro Hasebe
Free probability of type B was invented by Biane--Goodman--Nica, and then it was generalized by Belinschi--Shlyakhtenko and Février--Nica to infinitesimal free probability. The la…
math.PR2024
Fluctuations of eigenvalues of a polynomial on Haar unitary and finite rank matrices
Benoît Collins, Katsunori Fujie, Takahiro Hasebe +2
This paper calculates the fluctuations of eigenvalues of polynomials on large Haar unitaries cut by finite rank deterministic matrices. When the eigenvalues are all simple, we can…