%0 Journal Article %T Local law for eigenvalues of random Hermitian matrices with external source %A Linh Tran %J Mathematics %D 2013 %I arXiv %X We prove a local law for eigenvalues of the random Hermitian matrices with external source $W_n=\frac{1}{n}X_n+A_n$ where $X_n$ is Wigner matrix and $A_n$ is diagonal matrix with only two values $a, -a$ on the diagonal. The local law is an essential step to prove the universality conjecture for this random matrix model. %U http://arxiv.org/abs/1310.4611v2