Equidistribution of saddle periodic points for Henon-type automorphisms of C^k

Abstract

In this paper, we prove the equidistribution of saddle periodic points for Henon-type automorphisms of C^k with respect to it 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.

49 pages

References in corpus (1)

• Super-potentials for currents on compact Kaehler manifolds and dynamics of automorphisms

Cited by in corpus (2)

• Growth of the number of periodic points for meromorphic maps
• Positive plurisubharmonic currents: Generalized Lelong numbers and Tangent theorems