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  to exponential maps. Our proof relies on the topological characterization of postsingularly finite exponential maps given recently in . These results illustrate once again the fruitful interplay between combinatorics, topology and complex structure which has often been successful in complex dynamics.
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics
- Exponential map
- External address
- Kneading sequence
- Postsingularly finite