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Non-recurrence of exp(z)/z
Authors
Zhan, Guo Ping
Citation
Zhan, Guo Ping, Non-recurrence of exp(z)/z, Acta mathematica Sinica. English series (Print) , 29(4), 2013, pp. 703-716
Journal title
Acta mathematica Sinica. English series (Print)
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ACNP
ISSN journal
14398516
Volume
29
Issue
4
Year of publication
2013
Pages
703 - 716
Database
ACNP
SICI code
Abstract
In this paper, we consider the dynamics of the map z . exp(z)/z on the punctured plane .* = .\{0}. We show that for almost every point z . .*, the .-limit set of z is equal to {0,.}. In particular, the map is not recurrent.