We prove that under the dynamical hyperbolicity assumption, the saddle periodic points of a Henon-like map in any dimension equidistribute with respect to the measure of the maximal entropy. In this mini course, I will start by a concise introduction of Henon-like maps and then discuss some fine properties of the Green currents. Then, I will explain how to translate the equidistribution problem into an interchange problem between limits and wedge product for positive closed currents and find a sufficient condition for the latter one.

This is a joint work with Luo Muhan.

The course is on November 27 and 28, from 3 to 5 pm each day.