Dynamical Estimates on a Class of Quadratic Polynomial Automorphisms of ${\mathbb{C}}^3$

Abstract

Quadratic automorphisms of ${\mathbb{C}}^3$ are classified up to affine conjugacy into seven classes by Forn$\ae$ss and Wu. Five of them contain irregular maps with interesting dynamics. In this paper, we focus on the maps in the fifth class and make some dynamical estimates for these maps.