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Density of orbits in complex dynamics

Published online by Cambridge University Press:  13 January 2006

J. E. FORNÆSS  and
B. STENSØNES
J. E. FORNÆSS
Affiliation:
Mathematics Department, East Hall, University of Michigan, Ann Arbor, MI 48109, USA (e-mail: fornaess@umich.edu, berit@umich.edu)
B. STENSØNES
Affiliation:
Mathematics Department, East Hall, University of Michigan, Ann Arbor, MI 48109, USA (e-mail: fornaess@umich.edu, berit@umich.edu)
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Abstract

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In this paper we discuss whether germs of holomorphic self maps of $\mathbb{C}^n$ can have a dense orbit. We give both a positive and a negative answer depending on how the problem is interpreted more precisely.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 1 , February 2006 , pp. 169 - 178
Copyright
2006 Cambridge University Press