The University of Arizona
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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