Thermalization and black holes

In the framework of AdS/CFT correspondence, we discuss how the thermalization in a Yang-Mills plasma is described by the exact solution of the time dependent black hole in the dual gravity side. We describe the prescription to match generic initial thermal states from the both sides. We also discuss implications of our solution on general non-equilibrium phenomena. The thermalization involves a loss of information leading to an increase of entropy, which is only possible in the thermodynamic limit of field theories. We argue that the large N limit plays a role of this thermodynamic limit in our AdS/CFT correspondence.