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# A combinatorial classification of postsingularly finite complex exponential maps

• 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.
Mathematics Subject Classification: Primary: 30D05, 37F10, 37F20; Secondary: 37F45.

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