Bulk universality for real matrices with independent and identically distributed entries

We consider real, Gauss-divisible matrices A t = A + root tB, where B is from the real Ginibre ensemble. We prove that the bulk correlation functions converge to a universal limit for t = O(N - 1 / 3+epsilon ) if A satisfies certain local laws. If A = root 1 N (xi jk ) N j,k =1 with xi jk independent and identically distributed real random variables having zero mean, unit variance and finite moments, the Gaussian component can be removed using local laws proven by Bourgade-Yau-Yin, Alt-Erdos-Kr & uuml;ger and Cipolloni-Erdos-Schr & ouml;der and the four moment theorem of Tao-Vu.