Post-Doc Assistant Professor
1847 East Hall
I am interested in the dynamics of endomorphisms of P^k(C). More precisely I study the geometric and ergodic properties of attracting sets. It is easy to construct examples of attracting sets that have a simple physical form. In my PhD thesis, I proved that examples of attracting sets with non-trivial structure are abundant. And I described in detail the dynamics within the basin of attraction of an attracting set A. In particular, that some of the points in the basin approach A by following curves and that, in the long term, the distribution of all such points is the same.