Hénon-like mappings in ℂ2

Abstract

We study the dynamics of a class of nonalgebraic holomorphic diffeomorphisms, topological analogues in the unit bidisk of complex Hénon mappings in ℂ2. In particular a dynamical degree is defined, which is related to topological entropy, and we construct stable/unstable invariant currents, and prove there is a unique, mixing, measure of maximal entropy, with product structure.