A Combinatorial Classification of Postsingularly Finite Complex Exponential Maps
动力系统
2012-06-12 v3
摘要
We give a combinatorial classification of postsingularly finite exponential maps in terms of external addresses starting with the entry 0. This is an extension of the classification results for critically preperiodic polynomials \cite{BFH} to exponential maps. Our proof relies on the topological characterization of postsingularly finite exponential maps given recently in \cite{HSS}. Our results illustrate once again the fruitful interplay between combinatorics, topology and complex structure which has often been successful in complex dynamics.
引用
@article{arxiv.math/0602602,
title = {A Combinatorial Classification of Postsingularly Finite Complex Exponential Maps},
author = {Bastian Laubner and Dierk Schleicher and Vlad Vicol},
journal= {arXiv preprint arXiv:math/0602602},
year = {2012}
}
备注
Minor updates