| 概要 | Motivated by Operator Algebraic questions, Voiculescu introduced Free Probability in the early eighties. Ten years later, he discovered that Free Probability explains some behaviours of eigenvalues of Random Matrices in the limit of large dimension.
In this talk we will first describe new convergence results for norms for random matrices with unitary invariance, hereby solving conjectures by Pisier and Haagerup. Then, we will describe some applications to Quantum Information theory.
This talk is based on results obtained through collaborations with Belinschi, Nechita, Fukuda and Male. |