Abstract
We give a combinatorial classification of postsingularly finite exponential maps in terms of external addresses starting with the entry 0. This extends the classification results for critically preperiodic polynomials [2] to exponential maps. Our proof relies on the topological characterization of postsingularly finite exponential maps given recently in [14]. These results illustrate once again the fruitful interplay between combinatorics, topology and complex structure which has often been successful in complex dynamics.
Original language | English (US) |
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Pages (from-to) | 663-682 |
Number of pages | 20 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 22 |
Issue number | 3 |
DOIs | |
State | Published - Nov 2008 |
Keywords
- Classification
- Exponential map
- External address
- Kneading sequence
- Postsingularly finite
- Spider
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics