Free dense subgroups of holomorphic automorphisms
Complex Variables
2013-03-08 v1
Abstract
We show the existence of free dense subgroups, generated by 2 elements, in the holomorphic shear and overshear group of complex-Euklidean space and extend this result to the group of holomorphic automorphisms of Stein manifolds with Density Property, provided there exists a generalized translation. The conjugation operator associated to this generalized translation is hypercyclic on the topological space of holomorphic automorphisms.
Cite
@article{arxiv.1303.1810,
title = {Free dense subgroups of holomorphic automorphisms},
author = {Rafael B. Andrist and Erlend Fornaess Wold},
journal= {arXiv preprint arXiv:1303.1810},
year = {2013}
}
Comments
9 pages