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Constructing ergodic exponential maps with dense post-singular orbits

Published online by Cambridge University Press:  03 February 2009

XIUMEI WANG  and
GAOFEI ZHANG
XIUMEI WANG
Affiliation:
Department of Computer Science and Information Technology, JiangSu Teachers University of Technology, Changzhou, 213001, People’s Republic of China (email: wxmei@jstu.edu.cn)
GAOFEI ZHANG
Affiliation:
Department of Mathematics, Nanjing University, Nanjing, 210093, People’s Republic of China (email: zhanggf@hotmail.com)
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Abstract

We construct ergodic exponential maps fλ(z)=λez such that the forward orbit of the origin is dense in .

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 1 , February 2010 , pp. 309 - 316
Copyright
Copyright © Cambridge University Press 2009

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References

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