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We consider a Gaussian random matrix with correlated entries that have apower law decay of order $d>2$ and prove universality for the extremeeigenvalues. A local law is proved using the self-consistent equation combinedwith a decomposition of the matrix. This local law along with concentration ofeigenvalues around the edge allows us to get an bound for extreme eigenvalues.Using a recent result of the Dyson-Brownian motion, we prove universality ofextreme eigenvalues.

The Edge Universality of Correlated Matrices