Spectral rigidity for addition of random matrices
Vortrag von Prof. Dr. László Erdős
Sprecher eingeladen von: Prof. Dr. Benjamin Schlein
Datum: 11.04.18 Zeit: 17.15 - 19.00 Raum: Y27H12
A classical theorem of Voiculescu asserts that the eigenvalue of density of the sum of two hermitian matrices in a random relative basis is given by the free convolution. We show that this result holds down to the smallest local scale including the spectral edges. Our technique extends to certain non-hermitian situations as well and provides a local version of the single ring theorem on the optimal scale as well. The talk is based upon joint works with Kevin Schnelli and Zhigang Bao.