Pluripotential theory, namely positive closed and positive ddc-closed currents, is a fundamental tool in the theory of iteration of holomorphic maps and the theory of foliations. We will start with a crash course on positive closed and positive ddc-closed currents focusing on some recent progress of the pluripotential theory. We then discuss applications in complex dynamics. We will explain how the pluripotential theory allows to obtain equidistribution results, the unique ergodicity or other fine statistical properties. (2 of 2)

Pluripotential theory, namely positive closed and positive ddc-closed currents, is a fundamental tool in the theory of iteration of holomorphic maps and the theory of foliations. We will start with a crash course on positive closed and positive ddc-closed currents focusing on some recent progress of the pluripotential theory. We then discuss applications in complex dynamics. We will explain how the pluripotential theory allows to obtain equidistribution results, the unique ergodicity or other fine statistical properties. (1 of 2)