Equidistribution of saddle periodic points for Hénon-type automorphisms of $$\mathbb {C}^k$$Mathematische Annalen - Tập 366 - Trang 1207-1251 - 2016
Tien-Cuong Dinh, Nessim Sibony
In this paper, we prove the equidistribution of saddle periodic points for
Hénon-type automorphisms of $$\mathbb {C}^k$$ with respect to its equilibrium
measure. A general strategy to obtain equidistribution properties in any
dimension is presented. It is based on our recent theory of densities for
positive closed currents. Several fine properties of dynamical currents are also
proved.... hiện toàn bộ