Periodic Points and Dynamic Rays of Exponential Maps

By Dierk Schleicher, Johannes Zimmer. 2003

62 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a9dea068d0c403cf372292d99afc449d98c05603

How researchers see this paper

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1. Dierk Schleicher
2. Johannes Zimmer
3. Lasse Rempe
4. P. Rippon

Citations in the corpus

• The dynamical fine structure of iterated cosine maps and a dimension paradox (2004, methodology): “Once we know that we have a curve γ0 which is homotopic to γM up to homotopy, we stop applying homotopies and consider each γn+1 as a preimage of γn. It then follows that the curves γkM converge as k → ∞ to a periodic dynamic ray landing at p0; the details are the same as in [ SZ2 , Section 6]. The ”
• ATTRACTING DYNAMICS OF EXPONENTIAL MAPS (2003, methodology): “We will need the partition constructed in [ SZ3 , Section 4.3] and reviewed in”
• Escaping Points of Exponential Maps (2003, background): “The idea of dening a partition by considering the preimages of the negative real axis can be found in [2]; we call such a partition a static partition, as opposed to various dynamically more natural partitions introduced in [18, 22 ].”