Abstract
We investigate the dynamics of exponential maps z → λe z; the goal is a description by means of dynamic rays. We discuss landing properties of dynamic rays and show that in many important cases, repelling and parabolic periodic points are landing points of periodic dynamic rays. For postsingularly finite exponential maps, we use spider theory to show that a dynamic ray lands at the singular value.
| Original language | English |
|---|---|
| Pages (from-to) | 327-354 |
| Number of pages | 28 |
| Journal | Annales Academiae Scientiarum Fennicae Mathematica |
| Volume | 28 |
| Issue number | 2 |
| State | Published - 2003 |
| Externally published | Yes |