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A landing theorem for periodic rays of exponential maps
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UNSPECIFIED (2006) A landing theorem for periodic rays of exponential maps. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134 (9). pp. 2639-2648. ISSN 0002-9939.
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Abstract
For the family of exponential maps z -> exp(z) + k, we show the following analog of a theorem of Douady and Hubbard concerning polynomials. Suppose that g is a periodic dynamic ray of an exponential map with nonescaping singular value. Then g 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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | ||||
Publisher: | AMER MATHEMATICAL SOC | ||||
ISSN: | 0002-9939 | ||||
Official Date: | 2006 | ||||
Dates: |
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Volume: | 134 | ||||
Number: | 9 | ||||
Number of Pages: | 10 | ||||
Page Range: | pp. 2639-2648 | ||||
Publication Status: | Published |
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