@article{733, abstract = {Let A and B be two N by N deterministic Hermitian matrices and let U be an N by N Haar distributed unitary matrix. It is well known that the spectral distribution of the sum H = A + UBU∗ converges weakly to the free additive convolution of the spectral distributions of A and B, as N tends to infinity. We establish the optimal convergence rate in the bulk of the spectrum.}, author = {Bao, Zhigang and Erdös, László and Schnelli, Kevin}, journal = {Advances in Mathematics}, pages = {251 -- 291}, publisher = {Academic Press}, title = {{Convergence rate for spectral distribution of addition of random matrices}}, doi = {10.1016/j.aim.2017.08.028}, volume = {319}, year = {2017}, }