3 papers
math.PR2024
Asymptotic free independence and entry permutations for Gaussian random matrices. Part II: Infinitesimal freeness
M. Popa, K. Szpojankowski, P. -L. Tseng
We study asymptotic infinitesimal distributions of Gaussian Unitary Ensembles with permuted entries. We show that for random uniform permutations, the asymptotically permuted GUE m…
math.OA2024
Operator-Valued Infinitesimal Multiplicative Convolutions
Pei-Lun Tseng
We consider the notions of operator-valued infinitesimal (OVI) free independence, OVI Boolean independence, and OVI monotone independence. For each notion of OVI independence, we i…
math.OA2024
Infinitesimal Operators and the Distribution of Anticommutators and Commutators
James A. Mingo, Pei-Lun Tseng
In an infinitesimal probability space we consider operators which are infinitesimally free and one of which is infinitesimal, in that all its moments vanish. Many previously analys…