Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

A Landing Theorem for Periodic Rays of Exponential Maps

Lasse Rempe
Proceedings of the American Mathematical Society
Vol. 134, No. 9 (Sep., 2006), pp. 2639-2648
Stable URL: http://www.jstor.org/stable/4098113
Page Count: 10
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Landing Theorem for Periodic Rays of Exponential Maps
Preview not available

Abstract

For the family of exponential maps z ↦ exp(z) + κ, 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.

Page Thumbnails

  • Thumbnail: Page 
2639
    2639
  • Thumbnail: Page 
2640
    2640
  • Thumbnail: Page 
2641
    2641
  • Thumbnail: Page 
2642
    2642
  • Thumbnail: Page 
2643
    2643
  • Thumbnail: Page 
2644
    2644
  • Thumbnail: Page 
2645
    2645
  • Thumbnail: Page 
2646
    2646
  • Thumbnail: Page 
2647
    2647
  • Thumbnail: Page 
2648
    2648