Operator-valued random matrices and asymptotic freeness with amalgamation
Mathematical Physics and Probability Seminar
Operator-valued random matrices and asymptotic freeness with amalgamation
Series: Mathematical Physics and Probability Seminar
Location: MATH 402
Presenter: Weihua Liu, University of Arizona
In this talk, I will give an introduction to free probability theory and explain how this theory is related to random matrices. Then, I will introduce operator-valued free probability and operator-valued random matrices(banded random matrices and block random matrices are included). I will show that large-sized conditionally independent operator-valued random matrices are asymptotically free with amalgamation. This talk is based on my recent work https://arxiv.org/abs/1806.04848