Non-recurrence of exp(z)/z |
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| Authors: | Guo Ping Zhan |
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| Institution: | 11451. School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, P. R. China
21451. Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China
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| 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 ω-limit set of z is equal to {0,∞}. In particular, the map is not recurrent. |
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