Universality at the spectrum edge for random matrices with independent entries: Soshnikov's theorems and some extensions

Universality at the spectrum edge for random matrices with independent entries: Soshnikov's theorems and some extensions

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Alexander Sodin, Tel Aviv University
Jadwin Hall A08

We shall discuss the distribution of extreme eigenvalues for several classes of random matrices with independent entries. In particular, we shall discuss the results of Soshnikov and some of their recent extensions, and the combinatorial questions that appear in the proofs. (Based on joint work with Ohad Feldheim).