Andrist, Rafael Benedikt; Wold, Erlend Fornaess (2015). Free dense subgroups of holomorphic automorphisms. Mathematische Zeitschrift, 280(1-2), pp. 335-346. Springer 10.1007/s00209-015-1425-8
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We show the existence of free dense subgroups, generated by two elements, in the holomorphic shear and overshear group of complex-Euclidean space and extend this result to the group of holomorphic automorphisms of Stein manifolds with the 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.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Andrist, Rafael Benedikt, Wold, Erlend Fornaess |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0025-5874 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
24 Jun 2016 11:00 |
Last Modified: |
05 Dec 2022 14:56 |
Publisher DOI: |
10.1007/s00209-015-1425-8 |
ArXiv ID: |
1303.1810v1 |
BORIS DOI: |
10.7892/boris.82552 |
URI: |
https://boris.unibe.ch/id/eprint/82552 |
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