The key to set up Anderson Localization is to estimate the Green function. In this talk, I will introduce two ways to estimate the Green function.

One is the way of Harmonic analysis(based on Bourgain's book," Green's function  estimates for lattice Schrodinger operators and application"). The other way is by Jitomirskaya (based on two papers in the Annals of Math( 1999 and 2009). In the end, I will give an

extended result on Anderson Localization (this is a joint work with Xiaoping Yuan).