Colloquium: Asymptotic Independence Relations and Permutation on Entries for Some Classes of Random Matrices
Dr. Mihai Popa
Speaker: Mihai Popa (University of Texas at San Antonio)
Date / Time: Friday, August 25th at 3:30 pm
Location: ARTS 105
Title: Asymptotic Independence Relations and Permutation on Entries for Some Classes of Random Matrices
Abstract:
Almost three decades ago, D.-V. Voiculescu, in his attempt to prove the free factors conjecture, proved and used the fact that 2 Gaussian random matrices with independent entries are asymptotically free. This result was much improved since then, notably by R. Speicher, J. Mingo, B. Collins (all based in Canada at some times) and O. Ryan. The result gave rise to the idea that `freeness' is a asymptotic relation resulting from entry independence and large dimension of random matrices. Recently (2013), we found the surprising result that unitarily invariant random matrices are asymptotically free from their transposes. Since then, new properties are showing that asymptotic freeness can also be induced by various permutation of entries of relevant classes of random matrices.
(There won't be a formal coffee / tea in the lounge before this particular talk.)
Note: Given that this talk is out of term time, graduate students who attend will receive credit, but there is no penalty for not being able to attend.
We hope to see you there!
Colloquium Committee (Cam, Steve)