[PDF][PDF] Periodic points and dynamic rays of exponential maps
D Schleicher, J Zimmer - Annales Fennici Mathematici, 2003 - afm.journal.fi
Annales Fennici Mathematici, 2003•afm.journal.fi
We investigate the dynamics of exponential maps z↦→ λez; 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.
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.
Abstract
We investigate the dynamics of exponential maps z↦→ λez; 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.
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