Entry Permutations and Asymptotic Free Independence for Ginibre Random Matrices
Free probability was introduced in the late 80's by Dan Voiculescu as a tool for operator algebras. However, the theory turned out to fit quite nicely in the world of random matrices. It provided an alternate form of independence. What tensor independence is for random variables, in some sense free independence is for random matrices. We shall study permutations on Ginibre random matrices and how they affect free independence.