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arXiv · 1303.1810

Free dense subgroups of holomorphic automorphisms

Rafael B. Andrist·Erlend Fornaess Wold
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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.

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Rafael B. Andrist, Erlend Fornaess Wold. 2013-03-07. Free dense subgroups of holomorphic automorphisms. https://arxiv.org/abs/1303.1810

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