|
|||||
|
|
A landing theorem for periodic rays of exponential maps |
|
| Authors: | Lasse Rempe |
| Affiliation: | Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom |
| Abstract: | For the family of exponential maps  , we show the following analog of a theorem of Douady and Hubbard concerning polynomials. Suppose that  is a periodic dynamic ray of an exponential map with nonescaping singular value. Then  lands at a repelling or parabolic periodic point. We also show that there are periodic dynamic rays landing at all periodic points of such an exponential map, with the exception of at most one periodic orbit. |
| Keywords: | |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |