Dynamics of transcendental Henon maps. Part III ![[ Back ] [ Back ]](/components/com_simplecalendar/assets/images/back_icon.gif)
- Date:
- 11.10.17
- Times:
- 09:00 to 11:00
- Place:
- IMUB-Universitat de Barcelona
- Speaker:
- Anna Miriam Benini
- University:
- Universitat de Barcelona
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.