Convergence rate for spectral distribution of addition of random matrices Bao, Zhigang ; https://orcid.org/0000-0003-3036-1475 Erdös, László ; https://orcid.org/0000-0001-5366-9603 Schnelli, Kevin ; https://orcid.org/0000-0003-0954-3231 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. Academic Press 2017 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/733 Bao Z, Erdös L, Schnelli K. Convergence rate for spectral distribution of addition of random matrices. <i>Advances in Mathematics</i>. 2017;319:251-291. doi:<a href="https://doi.org/10.1016/j.aim.2017.08.028">10.1016/j.aim.2017.08.028</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aim.2017.08.028 info:eu-repo/semantics/altIdentifier/wos/000412150400010 info:eu-repo/semantics/altIdentifier/arxiv/1606.03076 info:eu-repo/semantics/openAccess