Dynamics of transcendental Henon maps. Part III

Abstract:

In this course we cover the dynamics of transcendental Henon maps. A transcendental Henon map is an automorphisms of $\C^2$ of the form $F(z,w)=(f(z)+aw,z)$ with $f:\C\to\C$ entire transcendental  and $a\in\R$.

Baker domains and subharmonic trick. We construct a transcendental Henon map $F$ with an invariant Baker domain on which $F$ is conjugate to a translation. This example is highly inspired by the construction of Baker domains in one-dimensional holomorphic dynamics.