Abstract
Dynamics of transcendental entire maps with coefficients in an algebraically closed and complete non-Archimedean field \(K\) is studied. It is shown, among other things, that periodic repelling points are dense in Berkovich Julia set, the forward union of any open set which intersects the Julia set is the whole Berkovich affine line, and a multi-connected Fatou component is wandering, in which all points go to infinity under iteration.
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Acknowledgments
The research is supported in part by NSF of China (No. 10831004). The authors would like to thank Professor Charles Favre for helpful discussions and valuable suggestions. The authors would also like to thank the referee for useful suggestions and comments.
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Fan, S., Wang, Y. Dynamics of Transcendental Entire Maps on Berkovich Affine Line. J Dyn Diff Equat 25, 217–229 (2013). https://doi.org/10.1007/s10884-012-9281-2
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DOI: https://doi.org/10.1007/s10884-012-9281-2